Algebra and Trigonometry
1st Edition
ISBN: 9781938168376
Author: Jay Abramson
Publisher: OpenStax
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Chapter 8.3, Problem 1TI
Given
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5) Solve the triangle.
2
95°
4
B
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A) c=3.63, A=59.5°, B = 25.5°
C) c = 4.63, A = 59.5°, B = 25.5°
A
B) c 4.63, A 25.5°, B = 59.5°
=
=
D) c 5.63, A = 25.5°, B = 59.5°
Find zw. Leave your answer in polar form.
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z = 6 cos
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W = 12 cos
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Write the expression (1 – i)
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Chapter 8 Solutions
Algebra and Trigonometry
Ch. 8.1 - Determine the period of the function g(x)=(cosx3)...Ch. 8.1 - What is the amplitude of the sinusoidal function...Ch. 8.1 - Determine the direction and magnitude of the phase...Ch. 8.1 - Determine the direction and magnitude of the...Ch. 8.1 - Determine the midline, amplitude, period, and...Ch. 8.1 - Determine the formula for the sine function in...Ch. 8.1 - Write a formula for the function graphed in figure...Ch. 8.1 - Sketch a graph of g(x)=0.8cos(2x) . Determine the...Ch. 8.1 - Draw a graph of g(x)=2cos(3x+6) . Determine the...Ch. 8.1 - What is the amplitude of the function f(x)=7cos(x)...
Ch. 8.1 - A weight is attached to a spring that is then hung...Ch. 8.1 - Why are the sine and cosine functions called...Ch. 8.1 - How does the graph of y=sinx compare with the...Ch. 8.1 - For the equation Acos(Bx+C)+D, what constants...Ch. 8.1 - How does the range of a translated sine function...Ch. 8.1 - How can the unit circle be used to construct the...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph one full period...Ch. 8.1 - For the following exercises, graph one full period...Ch. 8.1 - For the following exercises, graph one full period...Ch. 8.1 - For the following exercises, graph one full period...Ch. 8.1 - For the following exercises, graph one full period...Ch. 8.1 - Determine the amplitude, midline, period, and an...Ch. 8.1 - Determine the amplitude, period, midline and an...Ch. 8.1 - Determine the amplitude, period, midline, and an...Ch. 8.1 - Determine the amplitude, period, midline, and an...Ch. 8.1 - Determine the amplitude, period, midline, and an...Ch. 8.1 - Determine the amplitude, period, midline, and an...Ch. 8.1 - Determine the amplitude, period, midline, and an...Ch. 8.1 - Determine the amplitude, period, midline, and an...Ch. 8.1 - For the following exercises, let f(x)=sinx . 31....Ch. 8.1 - For the following exercises, let f(x)=sinx . 32....Ch. 8.1 - For the following exercises, let f(x)=sinx . 33....Ch. 8.1 - For the following exercises, let f(x)=sinx . 34....Ch. 8.1 - For the following exercises, let f(x)=sinx . 35....Ch. 8.1 - For the following exercises, let f(x)=sinx . 36....Ch. 8.1 - For the following exercises, let f(x)=sinx . 37....Ch. 8.1 - For the following exercises, let f(x)=cosx. 38. On...Ch. 8.1 - For the following exercises, let f(x)=cosx. 39. On...Ch. 8.1 - For the following exercises, let f(x)=cosx. 40. On...Ch. 8.1 - For the following exercises, let f(x)=cosx. 41. On...Ch. 8.1 - For the following exercises, let f(x)=cosx 42. On...Ch. 8.1 - Graph h(x)=x+sinx on [0,2) . Explain why the graph...Ch. 8.1 - Graph h(x)=x+sinx on [100,100] . Did the graph...Ch. 8.1 - Graph f(x)=x+sinx on [0,2) and verbalize how the...Ch. 8.1 - Graph f(x)=x+sinx on the window [10,10] and...Ch. 8.1 - Graph f(x)=sinxx on the window [5,5] and explain...Ch. 8.1 - A Ferris wheel is 25 meters in diameter and...Ch. 8.2 - Sketch a graph of f(x)=3tan(6x) .Ch. 8.2 - How would the graph in Example 2 look different if...Ch. 8.2 - Find a formula for the function in Figure 5.Ch. 8.2 - Graph one period of f(x)=2.5sec(0.4x) .Ch. 8.2 - Graph one period of f(x)=6sec(4x+2)8 .Ch. 8.2 - Graph one period of f(x)=0.5csc(2x) .Ch. 8.2 - Given the graph of f(x)=2cos(2x)+1 shown in Figure...Ch. 8.2 - Explain how the graph of the sine function can be...Ch. 8.2 - How can the graph of y=cosx be used to construct...Ch. 8.2 - Explain why the period of tan x is equal .Ch. 8.2 - Why are there no intercepts on the graph of...Ch. 8.2 - How does the period of y=cscx compare with the...Ch. 8.2 - Find the following exercises, match each...Ch. 8.2 - Find the following exercises, match each...Ch. 8.2 - Find the following exercises, match each...Ch. 8.2 - Find the following exercises, match each...Ch. 8.2 - For the following exercises, find the period and...Ch. 8.2 - For the following exercises, find the period and...Ch. 8.2 - For the following exercises, find the period and...Ch. 8.2 - For the following exercises, find the period and...Ch. 8.2 - For the following exercises, find the period and...Ch. 8.2 - For the following exercises, find the period and...Ch. 8.2 - For the following exercises, find the period and...Ch. 8.2 - For the following exercises, rewrite each...Ch. 8.2 - For the following exercises, rewrite each...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, find and graph two...Ch. 8.2 - For the following exercises, find and graph two...Ch. 8.2 - For the following exercises, find an equation for...Ch. 8.2 - For the following exercises, find an equation for...Ch. 8.2 - For the following exercises, find an equation for...Ch. 8.2 - For the following exercises, find an equation for...Ch. 8.2 - For the following exercises, find an equation for...Ch. 8.2 - For the following exercises, find an equation for...Ch. 8.2 - For the following exercises, find an equation for...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - The function f(x)=20tan(10x) marks the distance in...Ch. 8.2 - Standing on the shore of a lake, a fisherman...Ch. 8.2 - A laser rangefinder is locked on a comet...Ch. 8.2 - A video camera is focused on a rocket on a...Ch. 8.3 - Given cos(0.5)0.8776 , write a relation involving...Ch. 8.3 - Evaluate each of the following. a. sin1(1) b....Ch. 8.3 - Evaluate cos1(0.4) using a calculator.Ch. 8.3 - Solve the triangle in Figure 9 for the angle .Ch. 8.3 - Evaluate tan1(tan(8)) and tan1(tan( 119)) .Ch. 8.3 - Evaluate cos1(sin( 114)) .Ch. 8.3 - Evaluate cos(tan1(5 12)) .Ch. 8.3 - Evaluate cos(sin1(79)) .Ch. 8.3 - Find a simplified expression for sin(tan1(4x)) for...Ch. 8.3 - Why do the functions f(x)=sin1x and g(x)=cos1x...Ch. 8.3 - Since the function y=cosx and y=cos1x are inverse...Ch. 8.3 - Explain the meaning of 6=arcsin(0.5) .Ch. 8.3 - Most calculators do not have a key to evaluate...Ch. 8.3 - Why must the domain of the sine function, sin x,...Ch. 8.3 - Discuss why this statement is incorrect:...Ch. 8.3 - Determine whether the following statement is true...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, use a calculator to...Ch. 8.3 - For the following exercises, use a calculator to...Ch. 8.3 - For the following exercises, use a calculator to...Ch. 8.3 - For the following exercises, use a calculator to...Ch. 8.3 - For the following exercises, use a calculator to...Ch. 8.3 - For the following exercises, find the angle in...Ch. 8.3 - For the following exercises, find the angle in...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value...Ch. 8.3 - For the following exercises, find the exact value...Ch. 8.3 - For the following exercises, find the exact value...Ch. 8.3 - For the following exercises, find the exact value...Ch. 8.3 - For the following exercises, find the exact value...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, find the function if...Ch. 8.3 - For the following exercises, find the function if...Ch. 8.3 - For the following exercises, find the function if...Ch. 8.3 - For the following exercises, find the function if...Ch. 8.3 - For the following exercises, find the function if...Ch. 8.3 - Graph y=sin1x and state the domain and range of...Ch. 8.3 - Graph y=arccosx and state the domain and range of...Ch. 8.3 - Graph one cycle of y=tan1x and state the domain...Ch. 8.3 - For what value of x does sinx=sin1x ? Use a...Ch. 8.3 - For what value of x does cosx=cos1x ? Use a...Ch. 8.3 - Suppose a 13-foot ladder is leaning against a...Ch. 8.3 - Suppose you drive 0.6 miles on a road so that the...Ch. 8.3 - An isosceles triangle has two congruent sides of...Ch. 8.3 - Without using a calculator, approximate the value...Ch. 8.3 - A truss for the roof of a house is constructed...Ch. 8.3 - The line y=35x passes through the origin in the...Ch. 8.3 - The line y=37x passes through the origin in the...Ch. 8.3 - What percentage grade should a road have if the...Ch. 8.3 - A 20-foot ladder leans up against the side of a...Ch. 8.3 - Suppose a 15-foot ladder leans against the side of...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph two full...Ch. 8 - For the following exercises, graph two full...Ch. 8 - For the following exercises, graph two full...Ch. 8 - For the following exercises, graph two full...Ch. 8 - For the following exercises, graph two full...Ch. 8 - For the following exercises, graph two full...Ch. 8 - For the following exercises, use this scenario:...Ch. 8 - For the following exercises, use this scenario:...Ch. 8 - For the following exercises, use this scenario:...Ch. 8 - For the following exercises, use this scenario:...Ch. 8 - For the following exercises, use this scenario:...Ch. 8 - For the following exercises, suppose a weight is...Ch. 8 - For the following exercises, suppose a weight is...Ch. 8 - For the following exercises, suppose a weight is...Ch. 8 - For the following exercises, suppose a weight is...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - Graph f(x)=cosxand f(x)=secx on the interval [0,2)...Ch. 8 - Graph f(x)=sinx and f(x)=cscx and explain any...Ch. 8 - Graph the function f(x)=x1x33!+x55!x77! on the...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, determine the...Ch. 8 - For the following exercises, determine the...Ch. 8 - For the following exercises, determine the...Ch. 8 - For the following exercises, find the amplitude,...Ch. 8 - For the following exercises, find the amplitude,...Ch. 8 - The outside temperature over the course of a day...Ch. 8 - Water is pumped into a storage bin and empties...Ch. 8 - For the following exercises, find the period and...Ch. 8 - For the following exercises, find the period and...Ch. 8 - Write the equation for the graph in Figure 1 in...Ch. 8 - If tanx=3 , find tan(x) .Ch. 8 - If secx=4 , find sec(x) .Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, let f(x)=35cos(6x) ....Ch. 8 - For the following exercises, let f(x)=35cos(6x) ....Ch. 8 - For the following exercises, let f(x)=35cos(6x) ....Ch. 8 - For the following exercises, find and graph one...Ch. 8 - For the following exercises, find and graph one...Ch. 8 - For the following exercises, graph the function....Ch. 8 - For the following exercises, graph the function....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, suppose sint=xx+1 ....Ch. 8 - For the following exercises, suppose sint=xx+1 ....Ch. 8 - Given Figure 2, find the measure of angle to...Ch. 8 - For the following exercises, determine whether the...Ch. 8 - For the following exercises, determine whether the...Ch. 8 - The grade of a road is 7%. This means that for...
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- 2 10) The letters x and y represent rectangular coordinates. Write the equation x² + 4y = 4 using polar coordinates (r, e). A) 4 cos² 0 + sin² 0 = 4r C) r²(4 cos² 0 + sin² 0) = 4 B) cos² 0 + 4 sin² 0 = 4r D) r² (cos20 + 4 sin² 0) = 4arrow_forward2) A radio transmission tower is 130 feet tall. How long should a guy wire be if it is to be attached 6 feet from the top and is to make an angle of 20° with the ground? Give your answer to the nearest tenth of a foot.arrow_forward4) Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results. b=6, c=7, B = 80° A) one triangle B=40°, A = 60°, a = 13 C) one triangle C 39°, A 61°, a = 15 = B) one triangle C=41°, A = 59°, a = 17 D) no trianglearrow_forward
- 7) A painter needs to cover a triangular region 63 meters by 67 meters by 74 meters. A can of paint covers 70 square meters. How many cans will be needed?arrow_forward12) Match the graph to one of the equations. 71 5+ 4+ 2. 32 ←IIIIIII -8 -7 -6 -5 -4-3-2-11 1 2 3 4 5 6 7 8 r -2+ -3+ -4+ -5+ -6+ -7⋅ A) r=3+4 sin 0 B) r 4+3 cos C) r=4+3 sin 0 D) r=3+4 cos 0arrow_forwardᏃ Find ✓. Leave your answer in polar form. 7π 7π Z = 3 cos + i sin 4 4 9π 9π w W = 6 cos + i sin 4 4arrow_forward
- Write the complex number in rectangular form. 11π 117 COS + i sin 6 6arrow_forward8) The polar coordinates of a point are given. Find the rectangular coordinates of the point. (-7, 3157) 2πarrow_forward3) Solve the triangle. 7 20° B с 110° A) C 55°, a = 19.23, c = 15.68 B) C = C) C=45°, a 15.68, c = 19.23 D) C 50°, a 19.23, c = 15.68 = 50%, a= 15.68, c = 19.23arrow_forward
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