Prove cos x (1+sinx 1-sinx sin x. 4 1-sinx sinx+1/

Q: 2: Prove that a) cosx tan3x = sinx tan’x b) (sin x + cos x)² = 1 + sin 2x

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Q: cosx+sinx=cos(2x)  Prove that tanx=-1

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Q: Prove that cos(sinx) = /1 – x².

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Q: Prove the identity. sinx 1+ cos.x 2 cscx 1+ cos.x sinx

A: Given, The identity  sinx1+cosx+1+cosxsinx=2cscx We have to prove the identity.

Q: Verify the identity: (cos 3x - cos x)/(sin 3x + sin x) = -tan x.

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Q: prove the identity cos^3x sin^3x =(sin^3x-sin^5x)cosx

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Q: 04) Prove that 1- Cos + x) = sin x, 2- (sin x +cos x) sec x = sec2 x %3D

A: We have to prove that following trigonometric identity.

Q: Prove that sin -1 x + cos -1  x = pie /2

A: We have to prove:

Q: Prove the identity sec x - cos x = sinxtanx

A: To prove the identity

Q: Prove the identity. sin 2x = tanx 1+cos 2x

A: Explanation of the solution is given below....

Q: Prove sin 2x cot x (1 - cos 2x)

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Q: Prove: sin (2 cosx) = 2x1-x

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Q: 2

A: Prove: cos²(x/2)=(sin²x)/(2-2cosx)

Q: Prove the identity. cos²x 1+ sinx (1– sinx)? 1- sinx

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Q: Show that sin(sin-1 v + cos-1 v) = 1.

A: sinsin-1v+cos-1v=1

Q: Prove the identity. cosx/1-sinx - 1/cosx = tanx

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Q: Prove that sin 5x + sin 3x/4 sin x cos^3 x - 4 sin^3 x cos x = 2 cos x

A: Given: sin5x+sin3x4sinxcos3x-4sin3xcosx

Q: cos(-x)+sin(x=x) Q4 prove that sinx 2

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Q: Prove the identity. sin 2x- sin 6x - tan 2x cos 2x+ cos 6x

A: The objective is to prove The Identity.

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: 1-cosx sinx B: Prove sinx 1+cosx

A: Consider,  LHS=1-cosxsinx       =1-cosxsinx×1+cosx1+cosx       ....(muliply and divide by 1+cosx)…

Q: 6. Verify the identity: sin x 1 + cosx 1 + cosx sin x 2 cscx %3D

A: Topic = Trigonometry

Q: Prove (Start either from the LI 1- sin x 2. cosx COSx 1+ sin x

A: To prove : 1-sinxcosx=cosx1+sinx

Q: Find x where 0 ≤ x ≤ 2π. 4 cot²x = cos²x + sin²x - 1

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Q: verify that (sin(x)-cos(x))^2=1-sin(2x)

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Q: Prove that 1-cos2x+sin2x 1+cos2x+sin2x = tan x

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Q: Verify the identity. cos 7x- cos 9x tan 8x sin 7x- sin 9x Statomont

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Q: provethat 2. 1- cosx +Sin'x

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Q: sin 2x+cos2x+1 1- Prove cot x sin 2x-cos 2x+1

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Q: 1-cos2.x sin 2.x : tanx

A: Given- 1-cos2xsin2x : tanx To Simplify- The above expression. Formula Used- cos2x=1-2sin2x and…

Q: Prove 2tan x cos (3x) = sec x (sin(4x) - sin (2x))

A: Topic- trigonometry

Q: 1+ cos x sin x 7. Verify: ¹ 11 csc x + cotx

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Q: Prove the identity. csc (-x) – sin (-x) = cosx cotx

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Q: Prove (cosa + cosB) + (sina + sinß)° = 4cos²- « - B) %3D

A: Prove this equation by using some trigonometry identity

Q: prove that catX+c - Cos'x+Sin2X

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Q: prove that sin⁴x - sin²3x+sinx-3 = 0 has no solution.

A: prove that sin⁴x - sin²3x+sinx-3 = 0 has no solution.

Q: Prove (secx+tanx)/(secx-tanx) = (1+2sinx+sin^2x)/cos^2x

A: To prove that   (secx+tanx)/(secx-tanx) =(1+2sinx+sin2x)/cos2x

Q: prove that cos^2 x/2= tanx+sinx/ 2tan x

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Q: sin 2x sin x Cos 2x %3D Prove that 4 cos x - sec x Cos a

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Q: sin 2x+cos2x+1 1- Prove cot x %3D sin 2x-cos 2x+1

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Q: Prove the identity. cos x- secx=-sinx tan x 2.

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Q: Prove the identity. sec (-x) – sin (–x) tan (–x) = cos cosx

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Q: 9. Prove: csc(x)-csc(x)cos² (x) = sin(x)

A: To prove: csc(x)-csc(x)cos2(x)=sin(x) Note that, sin2(x)+cos2(x)=1

Q: prove the identity sin^2xcos^2x+cos^(4)x=(1-sinx)(1+sinx)

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Q: Prove sinxtanx + sinx tanx 1 cosx is an identity.

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Q: Verify the identity: (sin3 x - cos3 x)/sin x - cos x = 1 + sin x cos x

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Q: prove  cosx( 1- tan x)= cos x- sin x

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