92 sin(20) sin D) 2 sin(20) sin 0 A) 2 cos(20) cos B) 2 cos(20) Establish the identity. 14) cos(70) - cos(30) 2 sin(50) -- sin(20) 14) sin a - sin ß. - cot 15) sin a+ sin B 15)

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A: Use trigonometric and inverse trigonometric identities to prove the given expressions.

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Q: True or False sin(sin-1 0) = 0 and cos(cos-10) = 0.

A: Given:         sin(sin−10)=0  and cos(cos−10)=0

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Q: cos(282°) cos(33°)– sin(282°) sin(33°) - Cos(3159) 2.

A: cos (282°) cos (33°)-sin (282°) sin (33°)Now, we know that cos(x+y)=cosx cosy-sinx sinySo, cos282°…

Q: Sin 0= 4. tan 0>0 Part 1 of 3 (a) sin 20 = Part 2 of 3 (b) cos 20=

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Q: establish each identity

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Quadrants of: cos-0>0, sin -0>0   Quadrants of: cos 0>0, csc 0<0

A: We have to find quadrant

Q: 5. Verify that the expression is an identity: sin? 0 = sec 0- cos 0 cos 0 6. Verify that the…

A: 5. sin2θcos θ=sec θ-cos θ6. sec2x-11+tan2x=sin2x

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Q: sin 3x Prove the identity 4 cos x- sec x. sin x cos x

A: To proove: sin3xsinxcosx=4cosx-secx

Q: 9. Establish the identity 1- sec 0 tan 0 2 cot 0 tan 0 1- sec 0

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Q: 6 what is sin(-x)? 7 Given that sin(x) Provide your answer below: sin ( – x) =

A: Given  Sin(x)=6/7 Sin(-x)=?

Q: 8 b) tan 0 and sin 0 < 0 15 sin 0 cos 0 tan 0 sec 0 Csc 0 cot 0

A: Given that  tanθ = -815

Q: 1- cos'z tanxsinz consider the identity cotasinz verify the identity for the values x= 3

A: Trigonometric identities application

Q: 4 and 3 Suppose that tan a < a<T. Find the exact values of sin 2 a and tan 2 α sin 2 %3D Undefined

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Q: 1- cos 0 = (csc 0- cot0)² %3D 1+ cos 0 Starting with the right side, which shows the key steps in…

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Q: sin4x sin2x=1/2(cos2x-cos6x). Prove the identity

A: Consider the given identity

Q: 13. Prove. 1+ tan 0 a) cos 0+ sin 0 = sec 0 1 b) 1- sec 0 1+ sec 0 1 = -2 cot? 0 ,2 c) cos 20- cos…

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

Q: sin 20 + 2 cos 2 0 Verify the identity tan 0 + 2 cot 0 = sin 0 cos 0

A: Solve the given identity

Q: cos 5x - cos 3x = -8 sin? x(2 cos3 x - cos x) Working with the left-hand side, use a Sum-to-Product…

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Q: establish each identity.

A: Our Aim is to prove sin θ cos θcos2 θ-sin2 θ=tan θ1-tan2 θ -(i)

Q: 1. If tan z = - 0.5 then tan( – æ) - 2. If sin z = 0.5 then sin( – æ) = 3. If cos a = 0.2 then cos(…

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Q: Prove the identity. cos (x-y) sinx- sin (x-y) cosx= siny Note that each Statement must be based on a…

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Q: 5 sin 0 – 4 cos 0 If 5 tan 0 – 4 = 0, then the value of 5 sin 0 + 4 cos 0

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Q: sin (-0) cos² (-0) Establish the identity: cos 0 sin 0 sin (-0) - cos (-ø)

A: Given: sin2-θ-cos2-θsin-θ-cos-θ=cosθ-sinθ

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Q: 3 tan 0 tan' 0 Show that tan 30 = 1-3 tan? 0

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Q: 2. Verify the identity secx - cos x = sin x tan x 3. Find the exact value of sin(2) using the sum…

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Q: True or false? sin45∘cos30∘−cos45∘sin30∘=sin60∘cos45∘

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Q: 1. If tan x = -3.5 then tan(-x) = %3D 2. If sin x = 0.8 then sin(-r) = 3. If cos 0.6 then cos( r) =…

A: We know that  sin(-x) = -sinx cos(-x) = cosx tan(-x) = -tanx cot(-x) = -cotx sec(-x) = secx…

Q: single trigonometric 2. Simplify sin (3x) cos (4x) + sin (4x) cos (3.x). Express your answer as a…

A: To simplify sin3x cos4x+sin4x cos3x. To express the answer as a single trigonometric function.

Q: (sin 0+cos 0)² 3. sin?0-cos20 sin²0-cos²0 (sin 0-cos 0)²

A: (Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 20) Establish the identity. cot 0 – tan 0 cos(20) cot 0 + tan 0

A: Given, cotθ- tanθcotθ+ tanθ = cos2θ   We have to prove the above identity

Q: Prove the identity. cos(x - 1) - sin(x + 1) = = 0 Use the Addition and Subtraction Formulas, and…

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Q: 3.1 Express cos (P+Q) in terms of trigonometric ratios of P and Q. 3.2 Hence, derive a formula,…

A: As per our company's policy, we can give answer of first three subparts of first question. If you…

Q: sin 0(1 + tan 0) tan 0(sin0 +cos0)

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Q: Sin(θ)= √5/3, and π/2<θ<π. Find the exact value of cos( θ+ 3π/4) show work

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Q: sin θ = -4/5  ,3pi/2   4< θ < 2π Find cos(2θ).

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Q: tan 0+sec 0-1 %3D 1+sin 0 8. tan 0-sec 0+1 cos 0 Proof:

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Q: sin 4.4- sin 2A (a) Verify that = tan A cos 4.4 + cos 2.4 (b) Express the following as a product of…

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Q: sin0 - sece 8) cos0- csce 9) tan? 0 - cot? 0 1+ sine 1-sine 10) 1- sine 1+sin0 1 1 11) 1- sine 1+…

A: Question Number 8 Given expression sin θ - sec θcos θ - csc θ

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Q: tan + tan 15 10 5. Find the exact value of 1- tan tan 10 15 1 А. /3 С. 1 B. V3 D. undefined

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A: given,

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