The expression sec²x-1 is equivalent to: a. sin2x b. cos2x-1 c. 1-csc²x d. cos²x sin2x X

Q: An energy-efficient hard drive has a 2.7-in diameter and spins at 4400 rpm .       (a) What…

A: The objective of the question is to calculate the angular speed of the hard drive in radians per…

Q: A swimming pool has a depth of 8ft at the shallow end and 16ft at the deep end. The bottom of the…

A: The objective of this question is to find the length of the swimming pool. The pool has a depth of…

Q: Simplify. ( −2a2/ b )5 Write your answer without parentheses.

A: The objective of this question is to simplify the expression (−2a^2 / b)^5 and write the answer…

Q: Given v = 4i-j and w=3i+2j, find the angle between v and w. The angle between v and wis (Do not…

A: Step 1: Step 2: Step 3: Step 4:

Q: = Given: SP PT = ST = 2.6, O is centroid of ASPT, MO 1 (SPT), m/MPO-70° Find: V M S P T

A: Approach to solving the question:Please see attached photos for detailed solutions. thank you.…

Q: Given a tetrahedron (triangular pyramid) ABCD and a point, K, that belongs to the edge AB, determine…

A: All the parts are solved properly with detailed explanation.Hope you got your answer. If any query…

Q: Ann wants to know the length of a tunnel built through a mountain. To do so, she makes the…

A: Step 1:Step 2:​In △ABCAC=209 mBC=151 m∠C=82∘AB=?​Step 3:​Using the cosine…

Q: # 3 Use a polar coordinate system to plot the point with the given polar coordinates. Then find…

A: The given polar point is:(5,65π​)Recall that a polar ordered pair is in the form (r,θ).…

Q: 6:18 PM M v ← 2 Solved 24:42 1 2 3 4 5 Q14. The value of lim Translation x-0 WiFi 20 Submit ex3 -x…

A: Ans : page 1:The given function takes the indeterminate form 0/0 thus we apply L hospital rule :Ans…

Q: Verify that the equation is an identity. Odd/Even Show that sin (-x)+ cscx= cot.x cos.x. Reciprocal…

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: To find the area of the triangle we use the formula Area=21​×absin(C)where a and b are the lengths…

Q: Consider a triangle ABC like the one below. Suppose that a = 63, b=3, and c= 64. (The figure is not…

A: Here, we need to find each angle of the triangle using the law of cosines. The Law of Cosines, also…

Q: Find the values of the six trigonometric functions of A and B, if a = 8, b = 15. Solution:

A: Step 1: Step 2: Step 3: Step 4:

Q: Consider a triangle ABC like the one below. Suppose that  B=62°, a=45, and C=63. (The figure is not…

A: Step 1: Step 2: Step 3: Step 4:

Q: Use the cosine of a sum and cosine of a difference identities to find cos (s+t) and cos (s - t). √2…

A: Steps and explanations are as follows;In case of any doubt, please let me know. Thank you.

Q: 2. Simplify the following expression to a single trigonometric function. 4 tan(x)(1-sin(x))sec(x) 2…

A: Approach to solving the question:Please see attached photos for the detailed solutions. thank you.…

Q: Find the exact value of the following, without using a calculator. 1 sin (sin()+tan (-3)) 2

A: The objective of the question is to find the exact value of the expression sin(sin(1)) + tan(-3)…

Q: Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any…

A: Step 1: Step 2: Step 3:

Q: Consider a triangle ABC like the one below. Suppose that a=74, b=42, and A= 69°. (The figure is not…

A: Step 1:​a=74,b=42, and A=69∘.Using the sine…

Q: sin(4θ) cos(5θ) product as a sum or differnce containing only sines or cosines

A: The objective of this question is to express the product sin(4θ) cos(5θ) as a sum or difference…

Q: A telephone pole, shown at the top of the next column, is 60 feet tall. A guy wire 79 feet long is…

A: Refer to the attached image for the detailed solution:

Q: 16.

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Q: If sin(x) = and sec(y) = Π where x and y lie between 0 and evaluate sin(x + y). 2 If you have had…

A: Please see the attached images for the solution. If there are queries or if the images are not…

Q: 21.

A: This can be solved using the law of sines:    sin A / a = sin B / b = sin C / c. This is because we…

Q: Consider a triangle ABC like the one below. Suppose that a = 36, b = 22, and c=41. (The figure is…

A: Given:a= 36b= 22c= 41use the Law of Cosines to find C°cosC°= (c2-a2-b2) / (-2ab)cosC°= (412-362-222)…

Q: Find the magnitude and the positive direction angle for u. u = = (24,-7) ||u| =

A: To find the magnitude and the direction angle for the vector u = (24, -7) :1. Magnitude (|u|):The…

Q: a+b= Use the figure to evaluate a + b, a - b, and -a. - X

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Q: Use the cosine of a sum and cosine of a difference identities to find cos (s+t) and cos (s-t). COS…

A:

Q: Complete e semence Dem In polar coordinates, the graphs of r = a cos 0 and r = a sin 0 are In polar…

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Q: Name. Pre-Calculus/Trigonometry | Graded Assignment | Semester B Unit 5 Lesson 5 Date 5.07 Graded…

A: Martha calculated r as √[2 (-5√3)² + (-5)²] which is incorrect. The correct formula to calculate r…

Q: Topic : Vector

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Q: 10.2

A: Step 1: Step 2: Step 3: Step 4:

Q: Complete the proof of the identity by choosing the Rule that justifies each step. tan2x (cscx-1)=1…

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Q: Use the given information to find the exact function value. Simplify your answer as much as…

A: Steps

Q: Find intervals of theta where f is decreasing for r = -4cos(3theta)

A: Approach to solving the question:Let's find the intervals of θ where the function f(θ) is decreasing…

Q: Owen is jumping on a trampoline. When his feet hit the deck of the trampoline, the material…

A: Given,minimum height  = 2cm ,maximum height  = 200cm ,The period is 10 seconds ,The body is in upper…

Q: Given: NMML = NL, O is centroid of ANML, KO 1 (NML), KO = 15, m/KPO 40° Find: V K N☑ P M L

A: To find the value of V, we need to use the given information and properties of triangles.Given:NM =…

Q: 2 b. sin 0 tan 0 + cos 0 sec 0 +1 ― = sec²0 cos²0 COS Booklet 5

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Q: Right Triangle Missing Side Pun You can write all of the letters together in order with no spaces,…

A: The phrase "Right Triangle Missing Side Pun" is the riddle's question. This is a word play. One way…

Q: Convert  275°  from degrees to radians. Give the answer in exact form in terms of  π .

A: The objective of this question is to convert an angle given in degrees to radians. The conversion…

Q: 15. Homework assignment

A: Step 1:

Q: please draw the bearing and the pythagoras theorem in the picture and label and also write step and…

A: Approach to solving the question: The location of the boat was mapped out with the corresponding…

Q: Solve the triangle. a 23.5 b 13.4 c=26.7 What is the degree measure of angle A? (Simplify your…

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Q: Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any…

A: Step 1:Step 2: Step 3: Step 4:  thanks....

Q: Solve the right triangle. Round your answers to the nearest tenth. 28 49° b -0 0-9 =0 X

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Q: A negative angle greater than  −360°  that is coterminal to  21°  is

A: The objective of this question is to find a negative angle that is coterminal to 21° and greater…

Q: Solve the right triangle. Round your answers to the nearest tenth. 22 C 50° a A = A-0 -0 a = C =

A: Solution:

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Step 1:Step 2:​In △ABCArea of Δ=21​⋅AC⋅BC⋅sinCArea of Δ=21​⋅13⋅8⋅sin(46∘)Area of Δ=52sin(46∘)Area of…

Q: Identify the point with the given polar coordinates. (3,135°) Choose the correct graph below. ○ A.…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. DIVERGES.)…

A: The problem is asking us to determine whether the sequence defined by a_n = -9/√n converges or…