Algebra and Trigonometry
1st Edition
ISBN: 9781938168376
Author: Jay Abramson
Publisher: OpenStax
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Textbook Question
Chapter 9.2, Problem 23SE
For the following exercises, find the exact value of each expression.
23.
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Solve the oblique triangle with sides,
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13.2 m, b = 37.3 m, c =
Assume that,
a is the side opposite to ZA,
b is the side opposite to B,
c is the side opposite to C.
Enter answers accurate to .
If there is no solution, enter DNE.
ZA =
38.6 m.
LB =
ZC =
O
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Please solve with steps
Find all solutions of the equation answering as an expression, using n as the variable, in the form
a+bn
Chapter 9 Solutions
Algebra and Trigonometry
Ch. 9.1 - Verity the identity csccostan=1 .Ch. 9.1 - Show that cotcsc=cos .Ch. 9.1 - Verify the identity sin21tansintan=sin+1tan .Ch. 9.1 - Rewrite the trigonometric expression using the...Ch. 9.1 - Use algebraic techniques to verify the identity:...Ch. 9.1 - We know g(x)=cos(x) is an even function, and...Ch. 9.1 - Examine the graph of f(x)=secx on the interval [,]...Ch. 9.1 - After examining the reciprocal identity for sec t,...Ch. 9.1 - All of the Pythagorean identities are related....Ch. 9.1 - For the following exercises, use the fundamental...
Ch. 9.1 - For the following exercises, use the fundamental...Ch. 9.1 - For the following exercises, use the fundamental...Ch. 9.1 - For the following exercises, use the fundamental...Ch. 9.1 - For the following exercises, use the fundamental...Ch. 9.1 - For the following exercises, use the fundamental...Ch. 9.1 - For the following exercises, use the fundamental...Ch. 9.1 - For the following exercises, use the fundamental...Ch. 9.1 - For the following exercises, use the fundamental...Ch. 9.1 - For the following exercises, use the fundamental...Ch. 9.1 - For the following exercises, use the fundamental...Ch. 9.1 - For the following exercises, simplify the first...Ch. 9.1 - For the following exercises, simplify the first...Ch. 9.1 - For the following exercises, simplify the first...Ch. 9.1 - For the following exercises, simplify the first...Ch. 9.1 - For the following exercises, simplify the first...Ch. 9.1 - For the following exercises, simplify the first...Ch. 9.1 - For the following exercises, simplify the first...Ch. 9.1 - For the following exercises, simplify the first...Ch. 9.1 - For the following exercises, simplify the first...Ch. 9.1 - For the following exercises, simplify the first...Ch. 9.1 - For the following exercises, simplify the first...Ch. 9.1 - For the following exercises, simplify the first...Ch. 9.1 - For the following exercises, simplify the first...Ch. 9.1 - For the following exercises, verify the identity....Ch. 9.1 - For the following exercises, verify the identity....Ch. 9.1 - For the following exercises, verify the identity....Ch. 9.1 - For the following exercises, verify the identity....Ch. 9.1 - For the following exercises, verify the identity...Ch. 9.1 - For the following exercises, prove or disprove the...Ch. 9.1 - For the following exercises, prove or disprove the...Ch. 9.1 - For the following exercises, prove or disprove the...Ch. 9.1 - For the following exercises, prove or disprove the...Ch. 9.1 - For the following exercises, prove or disprove the...Ch. 9.1 - For the following exercises, prove or disprove the...Ch. 9.1 - For the following exercises, determine whether the...Ch. 9.1 - For the following exercises, determine whether the...Ch. 9.1 - For the following exercises, determine whether the...Ch. 9.2 - Find the exact value of cos(34) .Ch. 9.2 - Find the exact value of cos(105) .Ch. 9.2 - Find the exact value of tan(23+4) .Ch. 9.2 - Write sin7 in terms of its cofunction.Ch. 9.2 - Verify the identity: tan()=tan .Ch. 9.2 - Explain the basis for the cofunction identities...Ch. 9.2 - Is there only one way to evaluate cos(54) ?...Ch. 9.2 - Explain to someone who has forgotten the even-odd...Ch. 9.2 - For the following exercises, find the exact value...Ch. 9.2 - For the following exercises, find the exact value....Ch. 9.2 - For the following exercises, find the exact value....Ch. 9.2 - For the following exercises, find the exact value....Ch. 9.2 - For the following exercises, find the exact value....Ch. 9.2 - For the following exercises, find the exact value....Ch. 9.2 - For the following exercises, rewrite in terms of...Ch. 9.2 - For the following exercises, rewrite in terms of...Ch. 9.2 - For the following exercises, rewrite in terms of...Ch. 9.2 - For the following exercises, rewrite in terms of...Ch. 9.2 - For the following exercises, simplify the given...Ch. 9.2 - For the following exercises, simplify the given...Ch. 9.2 - For the following exercises, simplify the given...Ch. 9.2 - For the following exercises, simplify the given...Ch. 9.2 - For the following exercises, simplify the given...Ch. 9.2 - For the following exercises, simplify the given...Ch. 9.2 - For the following exercises, find the requested...Ch. 9.2 - For the following exercises, find the requested...Ch. 9.2 - For the following exercises, find the exact value...Ch. 9.2 - For the following exercises, find the exact value...Ch. 9.2 - For the following exercises, find the exact value...Ch. 9.2 - For the following exercises, simplify the...Ch. 9.2 - For the following exercises, simplify the...Ch. 9.2 - For the following exercises, simplify the...Ch. 9.2 - For the following exercises, simplify the...Ch. 9.2 - For the following exercises, simplify the...Ch. 9.2 - For the following exercises, simplify the...Ch. 9.2 - For the following exercises, simplify the...Ch. 9.2 - For the following exercises, simplify the...Ch. 9.2 - For the following exercises, use a graph to...Ch. 9.2 - For the following exercises, use a graph to...Ch. 9.2 - For the following exercises, use a graph to...Ch. 9.2 - For the following exercises, use a graph to...Ch. 9.2 - For the following exercises, use a graph to...Ch. 9.2 - For the following exercises, use a graph to...Ch. 9.2 - For the following exercises, use a graph to...Ch. 9.2 - For the following exercises, use a graph to...Ch. 9.2 - For the following exercises, use a graph to...Ch. 9.2 - For the following exercises, find the exact value...Ch. 9.2 - For the following exercises, find the exact value...Ch. 9.2 - For the following exercises, find the exact value...Ch. 9.2 - For the following exercises, find the exact value...Ch. 9.2 - For the following exercises, find the exact value...Ch. 9.2 - For the following exercises, prove the identities...Ch. 9.2 - For the following exercises, prove the identities...Ch. 9.2 - For the following exercises, prove the identities...Ch. 9.2 - For the following exercises, prove the identities...Ch. 9.2 - For the following exercises, prove the identities...Ch. 9.2 - For the following exercises, prove or disprove the...Ch. 9.2 - For the following exercises, prove or disprove the...Ch. 9.2 - For the following exercises, prove or disprove the...Ch. 9.2 - For the following exercises, prove or disprove the...Ch. 9.2 - For the following exercises, prove or disprove the...Ch. 9.3 - Given sin=58 , with in quadrant I, find (2) .Ch. 9.3 - Verify the identity: cos4sin4=cos(2) .Ch. 9.3 - Verify the identity: cos(2)cos=cos3cossin2.Ch. 9.3 - Use the power-reducing formulas to prove that...Ch. 9.3 - Given that sin=45 and lies in quadrant IV, find...Ch. 9.3 - Explain how to determine the reduction identities...Ch. 9.3 - Explain how to determine the double-angle formula...Ch. 9.3 - We can determine the half-angle formula for...Ch. 9.3 - For the half-angle formula given in the previous...Ch. 9.3 - For the following exercises, find the exact values...Ch. 9.3 - For the following exercises, find the exact values...Ch. 9.3 - For the following exercises, find the exact values...Ch. 9.3 - For the following exercises, find the exact values...Ch. 9.3 - For the following exercises, find the values of...Ch. 9.3 - For the following exercises, find the values of...Ch. 9.3 - For the following exercises, simplify to one...Ch. 9.3 - For the following exercises, simplify to one...Ch. 9.3 - For the following exercises, find the exact value...Ch. 9.3 - For the following exercises, find the exact value...Ch. 9.3 - For the following exercises, find the exact value...Ch. 9.3 - For the following exercises, find the exact value...Ch. 9.3 - For the following exercises, find the exact value...Ch. 9.3 - For the following exercises, find the exact value...Ch. 9.3 - For the following exercises, find the exact value...Ch. 9.3 - For the following exercises, find the exact values...Ch. 9.3 - For the following exercises, find the exact values...Ch. 9.3 - For the following exercises, find the exact values...Ch. 9.3 - For the following exercises, find the exact values...Ch. 9.3 - For the following exercises, use Figure 5 to find...Ch. 9.3 - For the following exercises, use Figure 5 to find...Ch. 9.3 - For the following exercises, use Figure 5 to find...Ch. 9.3 - For the following exercises, use Figure 5 to find...Ch. 9.3 - For the following exercises, simplify each...Ch. 9.3 - For the following exercises, simplify each...Ch. 9.3 - For the following exercises, simplify each...Ch. 9.3 - For the following exercises, simplify each...Ch. 9.3 - For the following exercises, simplify each...Ch. 9.3 - For the following exercises, simplify each...Ch. 9.3 - For the following exercises, prove the identity...Ch. 9.3 - For the following exercises, prove the identity...Ch. 9.3 - For the following exercises, prove the identity...Ch. 9.3 - For the following exercises, prove the identity...Ch. 9.3 - For the following exercises, rewrite the...Ch. 9.3 - For the following exercises, rewrite the...Ch. 9.3 - For the following exercises, rewrite the...Ch. 9.3 - For the following exercises, rewrite the...Ch. 9.3 - For the following exercises, rewrite the...Ch. 9.3 - For the following exercises, rewrite the...Ch. 9.3 - For the following exercises, rewrite the...Ch. 9.3 - For the following exercises, reduce the equations...Ch. 9.3 - For the following exercises, reduce the equations...Ch. 9.3 - For the following exercises, reduce the equations...Ch. 9.3 - For the following exercises, reduce the equations...Ch. 9.3 - For the following exercises, reduce the equations...Ch. 9.3 - For the following exercises, reduce the equations...Ch. 9.3 - For the following exercises, reduce the equations...Ch. 9.3 - For the following exercises, reduce the equations...Ch. 9.3 - For the following exercises, algebraically find an...Ch. 9.3 - For the following exercises, algebraically find an...Ch. 9.3 - For the following exercises, prove the identities....Ch. 9.3 - For the following exercises, prove the identities....Ch. 9.3 - For the following exercises, prove the identities....Ch. 9.3 - For the following exercises, prove the identities....Ch. 9.3 - For the following exercises, prove the identities....Ch. 9.3 - For the following exercises, prove the identities....Ch. 9.3 - For the following exercises, prove the identities....Ch. 9.3 - For the following exercises, prove the identities....Ch. 9.3 - For the following exercises, prove the identities...Ch. 9.4 - Use the product-to-sum formula to write the...Ch. 9.4 - Use the product-to-sum formula to write the...Ch. 9.4 - Use the product to-sum formula to evaluate...Ch. 9.4 - Use the sum-to-product formula to write the sum as...Ch. 9.4 - Verify the identity tancotcos2=sin2 .Ch. 9.4 - Starting with the product to sum formula...Ch. 9.4 - Provide two different methods of calculating...Ch. 9.4 - Describe a situation where we would convert an...Ch. 9.4 - Describe a situation where we would convert an...Ch. 9.4 - For the following exercises, rewrite the product...Ch. 9.4 - For the following exercises, rewrite the product...Ch. 9.4 - For the following exercises, rewrite the product...Ch. 9.4 - For the following exercises, rewrite the product...Ch. 9.4 - For the following exercises, rewrite the product...Ch. 9.4 - For the following exercises, rewrite the product...Ch. 9.4 - For the following exercises, rewrite the sum or...Ch. 9.4 - For the following exercises, rewrite the sum or...Ch. 9.4 - For the following exercises, rewrite the sum or...Ch. 9.4 - For the following exercises, rewrite the sum or...Ch. 9.4 - For the following exercises, rewrite the sum or...Ch. 9.4 - For the following exercises, rewrite the sum or...Ch. 9.4 - For the following exercises, evaluate the product...Ch. 9.4 - For the following exercises, evaluate the product...Ch. 9.4 - For the following exercises, evaluate the product...Ch. 9.4 - For the following exercises, evaluate the product...Ch. 9.4 - For the following exercises, evaluate the product...Ch. 9.4 - For the following exercises, evaluate the product...Ch. 9.4 - For the following exercises, evaluate the product...Ch. 9.4 - For the following exercises, evaluate the product...Ch. 9.4 - For the following exercises, evaluate the product...Ch. 9.4 - For the following exercises, evaluate the product...Ch. 9.4 - For the following exercises, rewrite the sum as a...Ch. 9.4 - For the following exercises, rewrite the sum as a...Ch. 9.4 - For the following exercises, rewrite the sum as a...Ch. 9.4 - For the following exercises, rewrite the sum as a...Ch. 9.4 - For the following exercises, rewrite the sum as a...Ch. 9.4 - For the following exercises, prove the identity....Ch. 9.4 - For the following exercises, prove the identity....Ch. 9.4 - For the following exercises, prove the identity....Ch. 9.4 - For the following exercises, prove the identity....Ch. 9.4 - For the following exercises, prove the identity....Ch. 9.4 - For the following exercises, prove the identity....Ch. 9.4 - For the following exercises, prove the identity....Ch. 9.4 - For the following exercises, rewrite the sum as a...Ch. 9.4 - For the following exercises, rewrite the sum as a...Ch. 9.4 - For the following exercises, rewrite the sum as a...Ch. 9.4 - For the following exercises, rewrite the sum as a...Ch. 9.4 - For the following exercises, rewrite the sum as a...Ch. 9.4 - For the following exercises, algebraically...Ch. 9.4 - For the following exercises, algebraically...Ch. 9.4 - For the following exercises, algebraically...Ch. 9.4 - For the following exercises, algebraically...Ch. 9.4 - For the following exercises, algebraically...Ch. 9.4 - For the following exercises, simplify the...Ch. 9.4 - For the following exercises, simplify the...Ch. 9.4 - For the following exercises, simplify the...Ch. 9.4 - For the following exercises, simplify the...Ch. 9.4 - For the following exercises, simplify the...Ch. 9.4 - For the following exercises, prove the following...Ch. 9.4 - For the following exercises, prove the following...Ch. 9.4 - For the following exercises, prove the identity....Ch. 9.4 - For the following exercises, prove the identity....Ch. 9.4 - For the following exercises, prove the identity....Ch. 9.4 - For the following exercises, prove the identity....Ch. 9.4 - For the following exercises, prove the identity....Ch. 9.4 - For the following exercises, prove the identity....Ch. 9.4 - For the following exercises, prove the identity....Ch. 9.4 - For the following exercises, prove the identity....Ch. 9.5 - Solve exactly the following linear equation on the...Ch. 9.5 - Find all solutions for tanx=xCh. 9.5 - Solve cos=0.2 .Ch. 9.5 - Solve sin2=2cos+2,02. [Hint: Make a substitution...Ch. 9.5 - Solve the quadratic equation 2cos2+cos=0 .Ch. 9.5 - Will there always be solutions to trigonometric...Ch. 9.5 - When solving a trigonometric equation involving...Ch. 9.5 - When solving linear trig equations in terms of...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, solve exactly on...Ch. 9.5 - For the following exercises, solve exactly on...Ch. 9.5 - For the following exercises, solve exactly on...Ch. 9.5 - For the following exercises, solve exactly on...Ch. 9.5 - For the following exercises, solve exactly on...Ch. 9.5 - For the following exercises, solve exactly on...Ch. 9.5 - For the following exercises, solve exactly on...Ch. 9.5 - For the following exercises, solve exactly on...Ch. 9.5 - For the following exercises, solve exactly on...Ch. 9.5 - For the following exercises, solve exactly on...Ch. 9.5 - For the following exercises, find all exactly...Ch. 9.5 - For the following exercises, find all exactly...Ch. 9.5 - For the following exercises, find all exactly...Ch. 9.5 - For the following exercises, find all exactly...Ch. 9.5 - For the following exercises, find all exactly...Ch. 9.5 - For the following exercises, find all exactly...Ch. 9.5 - For the following exercises, find all exactly...Ch. 9.5 - For the following exercises, find all exactly...Ch. 9.5 - For the following exercises, find all exactly...Ch. 9.5 - For the following exercises, find all exactly...Ch. 9.5 - For the following exercises, solve with the...Ch. 9.5 - For the following exercises, solve with the...Ch. 9.5 - For the following exercises, solve with the...Ch. 9.5 - For the following exercises, solve with the...Ch. 9.5 - For the following exercises, solve with the...Ch. 9.5 - For the following exercises, solve with the...Ch. 9.5 - For the following exercises, solve with the...Ch. 9.5 - For the following exercises, solve with the...Ch. 9.5 - For the following exercises, solve exactly on the...Ch. 9.5 - For the following exercises, solve exactly on the...Ch. 9.5 - For the following exercises, solve exactly on the...Ch. 9.5 - For the following exercises, solve exactly on the...Ch. 9.5 - For the following exercises, solve exactly on the...Ch. 9.5 - For the following exercises, solve exactly on the...Ch. 9.5 - For the following exercises, solve exactly on the...Ch. 9.5 - For the following exercises, solve exactly on the...Ch. 9.5 - For the following exercises, solve exactly on the...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, find exact solutions...Ch. 9.5 - For the following exercises, algebraically...Ch. 9.5 - For the following exercises, algebraically...Ch. 9.5 - For the following exercises, algebraically...Ch. 9.5 - For the following exercises, algebraically...Ch. 9.5 - For the following exercises, algebraically...Ch. 9.5 - For the following exercises, algebraically...Ch. 9.5 - For the following exercises, algebraically...Ch. 9.5 - For the following exercises, use a calculator to...Ch. 9.5 - For the following exercises, use a calculator to...Ch. 9.5 - For the following exercises, use a calculator to...Ch. 9.5 - For the following exercises, use a calculator to...Ch. 9.5 - For the following exercises, solve the equations...Ch. 9.5 - For the following exercises, solve the equations...Ch. 9.5 - For the following exercises, solve the equations...Ch. 9.5 - For the following exercises, solve the equations...Ch. 9.5 - For the following exercises, solve the equations...Ch. 9.5 - For the following exercises, solve the equations...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - For the following exercises, find all solutions...Ch. 9.5 - An airplane has only enough gas to fly to a city...Ch. 9.5 - If a loading ramp is placed next to a truck, at a...Ch. 9.5 - If a loading ramp is placed next to a truck, at a...Ch. 9.5 - A woman is watching a launched rocket currently 11...Ch. 9.5 - An astronaut is in a launched rocket currently 15...Ch. 9.5 - A woman is standing 8 meters away from a 10-meter...Ch. 9.5 - A man is standing 10 meters away from a 6-meter...Ch. 9.5 - A 20-foot tall building has a shadow that is 55...Ch. 9.5 - A 90-foot tall building has a shadow that is 2...Ch. 9.5 - A spotlight on the ground 3 meters from a 2-meter...Ch. 9.5 - A spotlight on the ground 3 feet from a 5-foot...Ch. 9.5 - For the following exercises, find a solution to...Ch. 9.5 - For the following exercises, find a solution to...Ch. 9.5 - For the following exercises, find a solution to...Ch. 9 - For the following exercises, find all solutions...Ch. 9 - For the following exercises, find all solutions...Ch. 9 - For the following exercises, find all solutions...Ch. 9 - For the following exercises, find all solutions...Ch. 9 - For the following exercises, find all solutions...Ch. 9 - For the following exercises, find all solutions...Ch. 9 - For the following exercises, use basic identities...Ch. 9 - For the following exercises, use basic identities...Ch. 9 - For the following exercises, determine if the...Ch. 9 - For the following exercises, determine if the...Ch. 9 - For the following exercises, find the exact value....Ch. 9 - For the following exercises, find the exact value....Ch. 9 - For the Following exercises, find the exact value...Ch. 9 - For the following exercises, find the exact value....Ch. 9 - For the following exercises, prove the identity....Ch. 9 - For the following exercises, prove the identity....Ch. 9 - For the following exercises, simplify the...Ch. 9 - For the following exercises, find the exact value....Ch. 9 - For the following exercises, find the exact value....Ch. 9 - For the following exercises, find the exact value....Ch. 9 - For the following exercises, find the exact value....Ch. 9 - For the following exercises, find the exact value....Ch. 9 - For the following exercises, find the exact value....Ch. 9 - For the following exercises, use Figure 1 to find...Ch. 9 - For the following exercises, use Figure 1 to find...Ch. 9 - For the following exercises, prove the identity....Ch. 9 - For the following exercises, prove the identity....Ch. 9 - For the following exercises, rewrite the...Ch. 9 - For the following exercises, rewrite the...Ch. 9 - For the following exercises, evaluate the product...Ch. 9 - For the following exercises, evaluate the product...Ch. 9 - For the following exercises, evaluate the product...Ch. 9 - For the following exercises, evaluate the sum by...Ch. 9 - For the following exercises, evaluate the sum by...Ch. 9 - For the following exercises, change the functions...Ch. 9 - For the following exercises, change the functions...Ch. 9 - For the following exercises, change the functions...Ch. 9 - For the following exercises, change the functions...Ch. 9 - For the following exercises, find all exact...Ch. 9 - For the following exercises, find all exact...Ch. 9 - For the following exercises, find all exact...Ch. 9 - For the following exercises, find all exact...Ch. 9 - For the following exercises, find all exact...Ch. 9 - For the following exercises, find all exact...Ch. 9 - For the following exercises, find all exact...Ch. 9 - For the following exercises, simplify the equation...Ch. 9 - For the following exercises, simplify the equation...Ch. 9 - For the following exercises, graph each side of...Ch. 9 - For the following exercises, graph each side of...Ch. 9 - For the following exercises, simplify the given...Ch. 9 - For the following exercises, simplify the given...Ch. 9 - For the following exercises, simplify the given...Ch. 9 - For the following exercises, simplify the given...Ch. 9 - For the following exercises, find the exact value....Ch. 9 - For the following exercises, find the exact value....Ch. 9 - For the following exercises, find the exact value....Ch. 9 - For the following exercises, find the exact value....Ch. 9 - For the following exercises, find the exact value....Ch. 9 - For the following exercises, find the exact value....Ch. 9 - For the following exercises, simplify each...Ch. 9 - For the following exercises, simplify each...Ch. 9 - For the following exercises, find all exact...Ch. 9 - For the following exercises, find all exact...Ch. 9 - For the following exercises, find all exact...Ch. 9 - For the following exercises, find all exact...Ch. 9 - Rewrite the sum as a product: cos(2x)+cos(8x) .Ch. 9 - Rewrite the product as a sum or difference:...Ch. 9 - Rewrite the difference as a product: 2sin(8)sin(4)Ch. 9 - Find all solutions of tan(x)3=0 .Ch. 9 - Find the solutions of sec2x2secx=15 on the...Ch. 9 - For the following exercises, find all exact...Ch. 9 - For the following exercises, find all exact...Ch. 9 - Find sin(2),cos(2),andtan(2) given cot=34 and is...Ch. 9 - Find sin(2),cos(2),andtan(2) given cot=725 and is...Ch. 9 - Rewrite the expression sin4x with no powers...Ch. 9 - For the following exercises, prove the identity....Ch. 9 - For the following exercises, prove the identity....Ch. 9 - For the following exercises, prove the identity....Ch. 9 - Plot the points and find a function of the form...Ch. 9 - The displacement h(t) in centimeters of a mass...Ch. 9 - A woman is standing 300 feet away from a 2,000-...Ch. 9 - Two frequencies of sound are played on an...Ch. 9 - The average monthly snowfall in a small village in...Ch. 9 - A spring attached to a ceiling is pulled down 20...Ch. 9 - Water levels near a glacier currently average 9...
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- One of the simplest robots an engineer could make is a robot with only one "link," as shown in Figure 1a. The grasping end of this robot can only move in a circle of fixed length L. Using trigonometry, determine the x and y locations of the grasping end in terms of the fixed length L, and the variable angle 0 per Figure 1b. Create a MATLAB script that calculates this x, y position for any L and 0, and creates a plot of this configuration. (Recall: when we are plotting points, we use the plot ([x values], [y values]) command and put the x and y values of the points inside the square brackets [i.e. plot([0 x], [0 y]). Use this script to find and plot the configurations below: a a. L = 10,0 = 45° b. L= 10,0 = π/3 = c. L 5,0 205° d. L= 15,0 = -2/3 b Ꮎ ✗ yarrow_forwardCalculate the length x. Give your answer to 2 s.f. 11 cm 60° 44° x Not drawn accuratelyarrow_forward4. (10 points) Answer the questions as they relate to the graph shown. 2 From the ONE cycle shown, starting at the red star, does the graph look like a sine or cosine function? Is it reflected over the x-axis or not? What is the maximum value? What is the minimum value? What is the amplitude? What is the period? What is the phase shift? What is the vertical translation? Find A, B, C, and D Write the equation for the curve shown. -TT/4 0 TT/4 TT/2 3TT/4 2arrow_forward
- Make Variational formulation for Problem and finite element Meth J'4 2'4 H +24=1XEUT AX dy' ALUS in 12 and 4 = 04 = 0 on r on → - E Û + x ű + u = f,xe I = (OIL) and U(0)=0, U(L) = 0 ④- ((1+x) 4) = 0 x6 I= [0,1] and (0) = 0, 1) = 1 ⑤-(all) - § xe [art] du (o) = ko (46) g.), au (L) = k(u(L)-9) Where do and fare given funtions Ko Ko veg are given.arrow_forwardIs the LHS and RHS equal? How to prove it using trigonometric identities?arrow_forwardHow can we determine the limits of integration on a triangular area, giving some examples if possible? 8arrow_forward
- Make Variational formulation for Problem. and finite element Methad Du 4 8X2 21144 +24=1 XE56, uecent प Auf in IL and 4 = ou = 0 on r = U= On → - E ÿ + XÚ + u=fXCI = (OIL) 1 and 4(0)=0, 4(L) = 0 ④- ((1+x)) = x+ I = [0,1] 4 and u(0) = 0, 1) = 1 xe fail au (0) = ko (l(s) -9.), au (L) = K₁(U(L)-9) Where do and fare given funtions Ko, KL, go ove g₁ are given.arrow_forwardPlease help and explain how to solve this step by step please. this is my homework and I'm a bit confusedarrow_forwardQ1: A consider the model problem (au')'=f x = [0, L] -Sean). au'(0) = ko(u(0) - go) au' (L) =k,(u(L) - g₁) Where a > 0 and fare given functions, ko, k₁, go and g, are given parameter. Find the variational form and finite element method. Q2: Consider the variational problem with bilinear form a(u,v) = f(u'v' +u'v + uv)dx corresponding to the differential equation -u" + u' + u =f Prove that a() is V-elliptic. Q3: Consider the general problem -V. (a Vu) + b. Vu+ cu = 0, in n. VugN on მი Where a, b and c are constant 430 on Find the variational form and finite element method. 2- Prove that the bilinear form a(u, v) continuous. 3- Prove that the linear form (v) continuous. Q4: consider a region R, O≤ x ≤30≤ y ≤3 as shown in figure, that is decomposed into four triangular sub regions, designated K1, K2, K3, K4. The vertices of these regions are the nodes V1, V2, V3, V4, V5. There is only one interior node, V₁. The coordinate of the node are given in matrix V. The triangles are defind by…arrow_forward
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