Prove that the following identity is true. tan A = sin A sec A We begin by writing the left side of the equation in terms of sines and cosines. We can then simplify the compound fraction and reduce. /cos A sin A tan A sec A 1/cos A COS A Your answer is incorrect. = sin A

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

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A: We know that, The trigonometric identities; 1). 1cscx=sinx 2). 1secx=cosx 3). tanx=sinxcosx 4).…

Q: practice question, I attached a picture

A: To write down the steps leading to the given identity

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

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Q: Given that sin(a)= -3/5 and tan(a)>0, determine the following: a.) cos(a) b.) tan (a) c.) sec(a)

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Q: Verify that the equation is an identity. sin'a- cos a Show that CSC a — соS a. cos a sina- sin?a…

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Q: sin x+2 cosx-1 Simplify the expression into the form of Find A. sin? x+5cos x-7 1+A [Hint: sin x+…

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Q: before answering this question. Lecture Video, S Let cos A = and sin A < 0. Find sin (2A), cos (2A)…

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Q: Prove that the following identity is true. sin? 8 - cos? e tan 8 - cot e = sin e cos e We begin by…

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Q: 1. Which of the following is NOT an identity? a) sin? a+cos? a = 1 c) 1 + cot? a = csc? a b) sin a =…

A: 1) D is not an identity  Consider LHS = 1-sec2a= 1-1cos2a= cos2a-1cos2a= -sin2acos2a= -tan2a≠ tan2a

Q: Given that sin(a) = 2/3 and cos b = -(1/4)  with both a and b in the interval [pi/2  , pi).  Find…

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Q: If sin a = 3'2 < a < 7, and cos ß = T <B< find the exact value of: (a) cos a (b) sin B (c) cos (2a)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Prove that the following identity is true. tan x sin? x + sin x cos x sin x - cos X cos x - 2 cos x…

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

A: Given: To prove the above identity

Q: identity is true. 33. sin (a - B) = sin a cos ß – sin B cos a

A: According to guideline we should able to do only one question at a time #33

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: Prove the identity. cot e csc e cos e We begin by writing the left side of the equation in terms of…

A: cot x = cos x /sin x

Q: 1. Suppose that a is an angle in standard position and that the terminal side of a is in the first…

A: Given that the terminal side of the angle Alpha lies in the first quadrant. This implies that Alpha…

Q: If sec A = 3, sin A < 0 Find sin (2A)

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Q: If tan a = 3' 0°<a< 90°, then find the exact value of each of the following. a. sin 2 c. tan 2 b.…

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Q: 1 If tan a= and 0 < a < 2 2' find cos . Cos x = (Simplify your answer, including any radicals. Use…

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Q: I need help on how to solve it and can you show me step by step how you got that answer

A: Recall that there are there are six trigonometric ratios, sine, cosine, tangent, cosecant, secant…

Q: photo attached

A: Using Pythagorean identity : sin^2 theta + cos^2 theta = 1So cos^2 theta = 1-sin^2 thetaAnswer:…

Q: Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following…

A: Given information:: Find the exact value of the expressions cos(α+β), sin(α+β) and tan( α+β)…

Q: Verify the identity. 1- sin a cos a cos a 1 + sin a Multiply the numerator and denominator by a…

A: The given identity is 1-sinαcosα=cosα1+sinα.   known fact: sin2θ+cos2θ=1cos2θ=1-sin2θanda2-b2=a+ba-b

Q: photo attached

A: The given identity is

Q: photo attached

A: To prove:

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A: From reciprocal property of trigonometry we know sec theta = 1/cos theta

Q: with A in 5' 24 with B in Quadrant You are given that cos(A) Quadrant I, and sin(B) 25' I. Find…

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Q: Prove that the following identity is true. cos? e 1- sin e 1 + sin e = We begin by writing the right…

A: The objective of the problem is to prove the given identity. 1+sinθ=cos2θ1-sinθ The Pythagorean…

Q: suppose sin(a)= -3/5 where pi&lt;a&lt;3pi/2, and tan(B)=15/8 where pi&lt;b&lt;3pi/2 A) Find sin (…

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Q: Prove the following identity. sin 4A = 4 sin A cos3 A - 4 sin3 A cos A We begin by using a…

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Q: Prove that the given equation is an identity. (sin 8 cos 8)2 = 1 - sin 20 Multiply out the left-hand…

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Q: If sin A = 2.5x and cos A = 5.5x, find the value of A in degrees. Select one: O a. 24.5 deg O b.…

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Q: show that the following statement is an identity by transforming the left side into the right side.…

A: To prove:secθcotθcscθ=1

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

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Q: Find the exact value of each of the following under the given conditions. a. cos (a + B) b. sin (a +…

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Q: Simplify: sec 0+ sin 0 1+sin 0 cos 0 a. Cos 0 1+sin? 0 cos2 0 b. cos? 0 1+cos? 0 с. cos? 0 d. sin 0

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Q: Prove the following identity. sin 4A = 4 sin A cos3 A − 4 sin3 A cos A We begin by using a…

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Q: photo attached

A: We begin by writing right hand side of equation in terms of sines and cosines by using reciprocal…

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…