cos 2x +1 sin 2x Prove that Please show proper steps sin 2x 1- cos 2x

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

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Q: Verify the identity. (7 cos x-4 sin x)2 + (4 cosx+7 sin x)2 = 65

A: Given,           7cosx-4sinx2+4cosx+7sinx2=65

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

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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: What is the exact value of 2sin(x/2) * cos(x/2) if sin of x = 3/5 and cos of x = 4/5 ?

A: To determine the exact value of the expression.

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

A: We have to prove:

Q: How do you solve question 3 and can you show me step by step?

A: 3. Given

Q: Verify the identity: (cos 3x - cos 5x)/(sin 3x + sin 5x) = tan x.

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Q: 1-sinx cosx 2. a) Show 6) Prove 3sino – 4sin0 = sin(30) cosx 1+sinx

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Q: If sin x + 1/ sin x = √√2, then sin²x + 1/ sin²x is equal to

A: We have to find the value of sin^2x + 1/sin^2x

Q: Verify the identity: (cos 4x - cos 2x)/(sin 2x - sin 4x) = tan 3x

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

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Q: Prove the identity. cos(3x) − cos^3 x = − cos x sin^2 x − sin x sin(2x)

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Q: sin(8x)cos(4x)+cos(8x)sin(4x)

A: We will find the value of the given trigonometric expression in the following step.

Q: If tan x = 3, cos x > 0, , then - sin 2x cos 2x tan 2x %3D

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Q: 1) Prove that sin 0 tan 0 + cos 0 = sec 0.

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Q: Find tan 0 if sin 0= 1/4 and 0 terminates in Q1

A: Given, θ terminates in Q1 So, tan θ i s positive

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

A:

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: Find the value of cos(4x) if = 4. 3 1-cos(x)-sin(x)

A: trigonometry

Q: 11. sin(2 tan-1 (-) 3,

A: A trigonometric ratios sin, cos, tan can take the input in the unit of degree or radians. The…

Q: True or False sin ( 20) has two equivalent forms: 2 sin 0 cos 0 and sin² 0 – cos 0

A: Given statement is, sin2θ has two equivalent forms: 2sinθcosθ and sin2θ-cos2θ.   The objective is to…

Q: Prove sin (90◦+x) + sin (90◦−x) = 2 cosx

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

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Q: Find sec2x if sin x = 6/10 and sec x < 0

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

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Q: Prove the below cos' x sin 3x + sin' x cos 3x 3 sin 4x 4 II

A: Simplification of trigonometry function

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: cos² (In x) sin²(In x)

A: Given: I=∫cos2(lnx)sin2(lnx)xdx

Q: 4 If cos x = csc x < 0, then sin 2x = cos 2x = tan 2x = ||

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Q: [1] sin3x Asinx – Bsin³x, find A and B. -

A: Explanation of the answer is as follows

Q: cos 2x cotx-1 1+sin 2x cotx+1 20

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Q: 2 sin 1 3 -1 cos tan 4

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

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Q: Prove the identity: sin² 0-cos²0 sin 0+ cos 0 = sin 0-cos0 -

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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: 3 Find sin 2.x, cos 2.x, and tan 2x if tanx and x terminates in guadrant II. 2 sin 2x %3D cos 2x tan…

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Q: Verify the identity -1 sin'0+2cos0-1 1 2 sin 0+3cos0-3 1-sece

A: We have to prove that sin2θ+2cosθ-1sin2θ+3cosθ-3 = 11-secθ We will using the following property to…

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

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Q: Find exact function values for: a. sin(α/2) b. cos(α/2) c. tan (α/2) cosα = 12/13, (3π)/2 < α <…

A: The given trigonometric ratio is cosα=1213 ,where3π2&lt;α&lt;2π (a) To find the value of sinα2…

Q: Show that 1 1. sec-1 x = cos-1 x = cos-1 1-x 2. cos-1x = tan-1 1+x Find the exact value 1.cos[sin-1-…

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Q: verify the identity  1 + sec ^2 x/ 1 + tan ^2 x = 1+ cos^2x

A: Note that 1+tan^2x = sec^2x  1/sec2x= cos2x

Q: 2 sin2x – 3 = 3 cos x and 90° < x < 270°

A: Hello , thanks for your question as it is not clear mentioned that it is Sin2 x or sin 2x So we are…

Q: Prove CotA= sin2A/1-cos2A

A: