Q: Prove the following identities: (i) cos*A - cos'A = sin*A - sin’A (ii) cot*A - 1 = cosec"A - 2 cosec A

Q: Q:Prove the following identities: (i) cos A, cos A = sin*A, sin'A (ii) cot A,1=cosec*A , 2 cosec?A

A: There is a sign mistake Right questions are  (1) cos^4A-cos^2A= sin^4A-sin^2A (2) cot^4A-1=…

Q: sin(a – B) (a) =1- cot a tan B sin a cos B

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Q: Q:Prove that following identities: cos' B- cos A sin' A- sin' B cos B cos A cos' A cos B (1) tan'A-…

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Q: (a) sin-' (sin ()) (0) cos (cos (-)) 6. Evaluate COS

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Q: 1. Use de Moivre's theorem to prove the trig identities: (a) sin 20 = 2 sin0 cose (b) cos 50 = cos'…

A: We have to prove this by demoviers theorem

Q: Prove the following identity: cos³x-sin³x cosx-sinx = 1 + sinx coSX

A: We know,      a3 - b3 = (a - b)(a2 + b2 + ab) Also,     sin2x + cos2x = 1

Q: cos(20) = cos? e - 1 = 1 - sin? 2 2 1 Cos e tan

A: Given

Q: (cos x +i sin a)" = cos nx +i sin na -1)

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Q: VI. Find the exact value of the expresssion: a) cos(sin=1) b) tan(sin¬'#)

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Q: Find f tan 0 de. ] a. C. - In sin 0+ C - In cos 0+ C sec² 0 + C - In sec 0 + C

A: Here we have to solve the integral.

Q: sin? 0 1- cose (7) cos“ 0+2 cos0+1 1+ cos0

A: To prove ..

Q: Cos 8 + sin 0 sin 0 1 cos 0 cos 8 sin e

A: As value of cosθ and sinθ revolves around +1 to -1 , they take different values depending on the…

Q: Use the trigonometric identities to expand and simplify if possible. 1-cos(1) Enter…

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Q: (4r + 5)2 2 dr + tan r-y = Cos z

A: Given differential equation is 2dydx+tan x·y=(4x+5)2cos xy3

Q: cos s? 0 = sin e (b) 1- 1+ sin 0

A: To Establish the identity

Q: Use the identity cos'0 + sin 0 = 1 to prove that cosec*0 = 1 + cot 0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: csc 0tan e sin 6 cos 8 = cosd

A: Given data:   The given trigonometric expression is cscθtanθ-cosθ =sin2θ/cosθ.     The left-hand…