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

Q: 2. Prove the identity: (cos x- sin x)2 + (cos x + sin x)2 = 2. %3D

A: To prove  that cosx-sinx2+cosx+sinx2=2

Q: verify that cos(x+y)/cos(x-y) is = 1-tanxtany/1+tanxtany please show steps

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Q: 11. Prove the identity sin x 1+ cos x 2 csc x 1+ cos x sin x

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Q: Verify the identity. cos3 x sin2 x = (sin2 x − sin4 x)cos x

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Q: Verify the identity: 1/(sin θ + cos θ)+1/(sin θ - cos θ) = 2 sin θ/(sin4 θ- cos4 θ)

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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: Expand and simplify: sin(x+3)-cos(+ x) 6 COS X

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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: Lan: prove (:) - - 4. sin x tan =1- cos x

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Q: 1- sin0 lim а) 1+ cos 20 2

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Q: Prove the identity (sin x - cos x)2 = 1 - sin 2x

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Q: Verify the identity -tan x  = cos 3 x - cos x / sin 3 x + sin 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: 4. Find the exact value of cos *x- sin "x-cos (2x). 4 cos x- sinx- cos (2x) = (Simplify your…

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Q: 9. Verify the identity 1 1 = 2 sec² x 1-sinx 1+sin x

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Q: True or false: To verify the identity sin x 1 + cos x we should begin by multiplying both sides by…

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Q: 12. Evaluate Cos 0 -sin & - Bin sin 0 Co3 0

A: Given: cosθ−sinθsinθcosθ4

Q: Prove the identity. sin x + sin 3x cos x + cos 3x tan 2x Use the Sum-to-Product Formulas and then…

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Q: Verify identity cos2 x - sin2 x = 2 cos2 x - 1.

A: cos2x -sin2x=2cos2x-1

Q: 21 Prove the identity.cos x (1 ²x) 2 2. - sin sec X,

A: Consider the given identity cos2x1-sec2x=-sin2x.

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: 15. Verify the identities: a) csc x -sin x = cos x • cotx b) tan²0 1 + sece 1 - cose cose

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Q: sin ²e + cos²e =(1)". if n>1

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Q: sin(cos-(0.7068)) O - 1.2926 O 0.7074 2.7074 -0.2926 1.7074

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Q: Verify the identity. (Simplify at each step.) 6 cos (T/2) – x 6 tan x sin (1/2) – x 6 cos (u/2) – x…

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Q: Evaluate: lime 1-sin 8+cos 8 sin 20-cos 0

A: Given expression is, limθ→π21-sin θ+cos θsin 2θ-cos θ. The L'Hospital rule states that…

Q: Which expression is equal to sin^4⁡x−cos^4⁡x / sin^2⁡x−cos2^⁡x using identities?   −1   2   1…

A: Topic- trigonometry

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 the identity. + sin 3 cos x- cosx

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Q: cos² (In x) sin²(In x)

A: Given: I=∫cos2(lnx)sin2(lnx)xdx

Q: verify the identity

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Q: Verify the identity. (Simplify at each step.) 8 cos(sin-¹(x)) = √64 - 64x² Let 8 = sin ¹(x) = sin(0)…

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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: a1/ Prove that 1+ sine tane + sece - 1 tane - sece +1 cose

A: Note:-     as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Verify the identity. (Simplify at each step.) sin3/2 x cos x - sin72 x cos x = cos3 xV sin3 x .…

A: Here we solve the trigonometry equation.

Q: Verify the identity: cos x/(1 - sin x) + (1 - sin x)/cos x = 2 sec x

A: The given identity is cosx1-sinx+1-sinxcosx=2secx

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

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Q: sin(cos (0.715)) O 2.6991 O -1.3009 O -0.3009 O 1.6991 O 0.6991

A: Given,               sin(cos-1(0.715))

Q: Verify the identity. (Simplify at each step.) 5 sin2 x − 5 sin4 x = 5 cos2 x − 5 cos4 x   5 sin2 x…

A: Given identity is,5 sin2 x − 5 sin4 x = 5 cos2 x − 5 cos4 xConsider,5 sin2 x − 5 sin4 xTake out 5…

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: #/2 sin " x 2: Evaluate 20 sin ° x+ coSx

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Q: 4. Verify the identity: 1 cos(x)+1 1 + cos(x)-1 -2 csc(x) cot(x)

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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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