Prove the following identity. csc cot e sin2 2 2 csc We begin by writing the right side of the equation in terms of sines and cosines using the Reciprocal and Ratio Identities. We can then write the compound fraction as a simple fraction, and use a Half-Angle Formula to simplify. csc cot e sin e sin 2 csc e 2 sin e sin e 2. sin e 2 e sin2

Q: Assume sin(0) = Thus, cos(0) = = 49 50 The angle is in quadrant 0 where 2π < 0 < 5. Compute sin(2) 2…

A: Solution of given question is written in below steps.

Q: Establish the identity. cos 0. csc 0= cot 0 Write the left side in terms of sine and cosine. cos 0.O…

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Q: In the answer box below, type an exact answer only (i.e. no decimals). You do not need to fully…

A: We have to find out sine angle

Q: 16 with A in Quadrant III, and cos(B) 65 24 with B in Quadrant I. Find sin(A + B). 25 You are given…

A: Given,         sinA=-1665 with A in Quadrant III and cosB=2425 with B in Quadrant I.

Q: Let sin A= 7/25with A in Q2 and cos B=-5/13 in Q3. Find Cos(A+B),sin (A+B) and tan (A+B). Determine…

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Q: В 16 12 20 Find the Sine, Cosine and Tangent of Angle A. Give your answer as a fraction is simplest…

A: The figure of the triangle is given by To evaluate : The values of sinA, cosA and tanA

Q: Given: sin a= in Quadrant I and cos B= - 13 in Quadrant II; evaluate the following expression sin(a…

A: We can find the required correct answer as below.

Q: Use the triangle below to answer #5 and #6 14 5. Which of the following equations can be used to…

A: 5. Since the opposite side is x and adjacent side is 14, Therefore we can use tan71°=x14 to solve…

Q: Use the power reducing formulas to rewrite cot 6x sin 6x in terms of the first power of cosine.…

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Q: 1. 2. Use the diagram on the right to state the fractions that correspond with each ratio. sin 8 =…

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Q: Prove the following identity. csc e - cot 0 Sin2 e 2 csc e We begin by writing the right side of the…

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Q: Find the ratio for the following, simplify completely and leave your answer in radical form. 16. In…

A: See solution below

Q: Use a​ half-angle formula to find the exact value of the following expression. sin ((5\pi )/(8))

A: Given,          sin5π8

Q: 5 You are given that cos(A): with A in 13' 5 Quadrant III, and sin(B) = , with B in Quadrant I. Find…

A: We have to find trigonometric  fraction

Q: You are given that sin(A)=−33/65, with A in Quadrant III, and cos(B)=4/5, with B in Quadrant I. Find…

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Q: Use the Half-Angle Identities to have an exact value for each of the following (use simplified…

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Q: In the answer box below, type an exact answer only (i.e. no decimals). You do not need to fully…

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Q: Use the given information to find the exact value of a. sin 2θ​, b. cos 2θ​, and c. tan 2θ. cos θ =…

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Q: In the answer box below, type an exact answer only (i.e. no decimals). You do not need to fully…

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Q: Write the ratios for sin M, cos M, and tan M. 2/21 4 10 sin M= (Type an integer or a simplified…

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Q: You are given that cos(A) =, with A in Quadrant I, and sin(B) = - with B in Quadrant III. Find…

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Q: You are given that cos(A)=−45, with A in Quadrant II, and sin(B)=−2425, with B in Quadrant III. Find…

A: cosA=-45; A in Q2sinB=-2425; B in  Q3sinA+B=?step1:Find sinA, cosB By pythagorean…

Q: Prove that the following identity is true. sin4 A − cos4 A = 1 − 2 cos2 A We begin by factoring the…

A: Use Pythagorean identities to prove the above identity.

Q: Prove that the following identity is true. tan A sec A = sin A We begin by writing the left side of…

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Q: You are given that sin(A)=8/17, with A in Quadrant II, and cos(B)=−5/13, with B in Quadrant II. Find…

A: We are given that sin(A)=8/17, with A in Quadrant II, and cos(B)=−5/13, with B in Quadrant II.…

Q: Use APQR, as needed, to complete the given parts. Part 1: Let h be the height of APOR. Find the…

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Q: Evaluate the following expressions. Note: The answer must be given as a fraction, NO DECIMALS. If…

A: given; sin(θ) = -25 sinθ =perpendicularhypotenuseperpendicular = -2, hypotenuse = 5using pythagoras…

Q: 1. Find the exact value of the following using either half-angle or sum/difference identities. a.…

A: We will use sum and difference identities.

Q: Find the SIN and TAN (in fractional form) of an acute angle with COS = 3/5

A: We can find the sin and tan values as below

Q: In the answer box below, type an exact answer only (i.e. no decimals). You do not need to fully…

A: Given query is to find value of Indicated trigonometric function.

Q: with a in quadrant II, and 5' given that cos a = sin B = 7' 3 with B in quadrant IV. -- 57. sin (a -…

A: 59. The given data is: cosα=-25, α in quadrant IIsinβ=-37, β in quadrant IV    To find the value of…

Q: If sin a 4. sin b 3 a and b in quadrant I, then find sin(a + b) = cos(a + 6) =

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Q: photo attached

A: The given identity is

Q: Verify the identity. cott- sin 2t = cott cos 2t Use the appropriate double-angle formula and rewrite…

A: We want to verify the given trigonometric identity. Here we use double angle formula of cosine and…

Q: photo attached

A: To prove:

Q: (B) If angle Ohas a terminal ray that falls in the fourth quadrant and cos e =, then determine the…

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Q: Use a double-angle identity to find the exact value of the expression. 2 sin 15° cos 15° Choose the…

A: Given   2sin(15°)cos(15°)[sin2thita=2sin(thita)cos(thita)] = Sin(2×15)  =Sin30° = 1/2

Q: B 85 Use the given right triangle to find ratios, in reduced form, for sin A, cos A, and tan A. 13 A…

A: Given ∆ABC is a right angle triangle.

Q: You are given that sin(A)=24/25, with A in Quadrant I, and sin(B)=−4/5, with B in Quadrant IV. Find…

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Q: 2. Draw a right triangle to present the angle involved in the expression, then write the ex-…

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Q: In the answer box below, type an exact answer only (i.e. no decimals). You do not need to fully…

A: Topic:- trigonometry

Q: #1 Complete the table by finding the sine and cosine of each acute angle. Give you answer as a…

A: To Determine: complete the table by finding the sine and cosine of each acute angle.give your answer…

Q: Prove that the following identity is true. tan A = sin A sec A We begin by writing the left side of…

A: Here we have to prove

Q: You are given that sin(A) = , with A in Quadrant I, and cos(B) = -, with B in Quadrant III. Find…

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Q: Use the Pythagorean Theorem to label the sides of the right triangle pictured to the left given that…

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Q: Prove the following identity. sin 20 cot e = 1- cos 20 We begin on the right side of the equation by…

A: Our objective is to fill the box.

Q: You are given that cos(A) = -, with A in Quadrant III, and cos(B) = -, with B in Quadrant II. Find…

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Q: 3. Find sin() using each of the following methods: a. Write b. Write c. Write as a sum of special…

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Q: You are given that sin(A) with A in 25 12 - Quadrant IV, and sin(B) Quadrant III. Find cos(A + B).…

A: In 4th quadrant cosx is positive and sinx is negative . In 3rd quadrant both sin and cos are…

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. (a)     2 sin(11°)…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.