prove it 6. *cos 4x = 1 - 8 sin?x + 8 sintx

Q: cos 30° + sin 60° V3 Prove that 1+ cos 60° + sin 30° 2.

A: Given to prove : cos30∘+sin60∘1+cos60∘+sin30∘=32…

Q: sin 20 5) Verify tan 0 %3D 1+cos 20

A:

Q: snip

A: Given: The equation is sin 4θ = cos θ4 sin θ - 8 sin3 θ .

Q: Prove the identity:  4 sin (3x) cos (4x) = 2 sin (7x) - 2 sin (x)

A:

Q: Verify the identity: 37 sin 2 -- - -cos x COS X

A: To verify the given trigonometric identity, sin3π2-x=-cos x, let's consider the left-hand side…

Q: Establish the identity. 1- cos 0 sin 0 = 2 csc 0 sin 0 1- cos 0

A: We have to prove, 1-cosθsinθ+sinθ1-cosθ=2 cscθ

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

A:

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

A: We have to prove:

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

A:

Q: 1-cos2x/1+sinx=sinx. Prove the identity

A:

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

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

Q: 1. Prove cos 8-sin 8 cos 8 + sin e = sec 28 tan 20.

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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: 12 Prove that sin 80 cos 0-sin 60 cos 30 a. = tan 20 cos 20 cos 0- sin 30 sin 40

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Q: * Prove: sin x = cos COS 2- 2cos x

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

A: The objective is to prove The Identity.

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

A: Topic = Trigonometry

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: Find sin 0 and cos 0 if tan 0 sin = 3/5 sin = -3/5 sin = 4/5 sin = -4/5 cos = 3/5 cos = -3/5 cos =…

A:

Q: Prove the identity. 1+ sinx cosx =2 seex cosx 1+ sinx

A: We need to prove the following identity 1+sinxcosx+cosx1+sinx = 2secx

Q: Verify the identity. 6 cos(sin-1 x) = / 36 – 36x2 Let 0 = sin-1 x = sin 0 = x = X. Thus, 6 cos(sin-1…

A: use trigonometric identity  to verify it.

Q: Prove ONE of the follow sin x+ cos 2x-1 tan x %3D a) cos x-sin 2x

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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 identity: sin(0)-co sin (0) +cos (0)–1 cos (8)+1 sin(0)+1 cos(8)

A: On proving this we will get

Q: prove that: sin7x.cos3x-cos7x.sin3x/tan2x=cos4x+1

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Q: Prove the identity. + sin 3 cos x- cosx

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Q: VERIFY THE IDENTITIES

A: To verify

Q: Prove identity: 4 sin x cos x (1 – 2 sin? x) = sin(4x)

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Q: Establish the identity 2 2 cos - sin 0 2, 1 - tan 0 2 = cos 0.

A: To establish the identity

Q: Simplify sin “ z – cos“ æ O 2cos (x) - 1 O 2sin*(x) - 1 O 1+ 2sin*(x) O 1+ 2cos (x)

A: Using trigonometric identities.

Q: 7. Prove the identity. 1-cos 20 tan 0 %3D sin 20

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

A:

Q: Prove: sin² x + 2 cos²x − 1 = cos²x -

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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: Verify the identity. 9 cos(sin ¹ x) = √81 - 81x² = 8 = x = . Thus, Let 8 = sin-¹ x = sin 8 = x 9…

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Q: 8. Prove the identity sec 0 – cos 0 = sin 0 tan 0

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

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Q: . Prove only 1 of the 2 identities given. sin x 1-cosx = 2 csc x 1-cos x sinx -) 1- sin? x – sin² y…

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Q: 10. Prove: cos²(x)-sin²(x) =sin² (x) 1-tan²(x)

A:

Q: cos 30° + sin 60° V3 Prove that 1+ cos 60° + sin 30°

A: Trignometric ratios are

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

A:

Q: 4. cos' (sin (7 /6 )) 5. sin 1 (cos (π/ ) 6. tan (sin (3n/2))

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Q: Prove using trig identities sin 20° =1 V3 cos 20° – 2 sin 40°

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Q: Verify that 2tan (x/2)= (sin2x+1-cos2)/(sin x(1+cos x)

A: Consider the given condition that,2tan (x/2) = (sin2x+1–cos2x)/(sin x(1+cos x)) … (1)Consider the…

Q: 17 prove 4 Cos" ☺ - Sin" 0 = Cos20

A: