Prove the identity. + sin 3 cos x- cosx

Q: Verify that the equation is an identity. 2 sin x tan 2.r = 2 cos x - sec x

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Q: las to rewrite the identities. b. sin(8x)-cos(8x)

A: a) We have to use the formula

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

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Q: Prove: sin (2 cos x)= 2x1-x² %3D

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Q: 1 + sin 0 1 + sin 0 1 - sin 0 |cos 6|

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

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Q: Prove the identity. Cos(x− 90°) − Cos( x + 90°) = 2 sin x

A: We will use the formulas: cos(A-B)=cosAcosB+sinAsinBcos(A+B)=cosAcosB-sinAsinB

Q: 25. Verify the identity. cos (-0) 1+sin (-0) sec 0 + tan 0

A: here is the proof

Q: Verify the identity. 1 + cos(x) cos(x) 1 – cos(x) 1 + cos(x) = 4 cot(x) csc(x)

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Q: Prove the identity. sin^2(θ)−tan(θ)cos^2(θ)−cot(θ)=tan^2(θ)

A: We have to prove the identity                                         sin2θ-tanθcos2θ-cotθ=tan2θ

Q: Prove the identity sin(-0)- cos (+0)

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Q: Establish the identity. cos e 1 cos 0- sin 0¯ 1- tan 0

A: Given,            cosθcosθ-sinθ=11-tanθ

Q: cos(x + y) cos(x – y) = cos? (x) – sin²(y)

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

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

A: sinx1+cosx=sinx1+cosx×1-cosx1-cosx=sinx1-cosx1-cos2x     ∵a+ba-b=a2-b2=sinx1-cosxsin2x…

Q: Prove sin?x tan²x – cos?x = sec²x - 2

A: To prove : sin2x tan2x - cos2x = sec2x - 2

Q: Verify the identity. sin x = csc x + cot x 1-cos x

A: This question can be solved by appropriately arranging the given options in the blanks.

Q: Prove the identity. sin'x cos'x= (cos'x- cos"x) sin x

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Q: 1+ cos x (csc x+ cot x)² %3D 1- cos x 2.

A: Given : 1 +cosx1-cosx = (cscx + cotx)2

Q: Prove the identity: (sin x – cos x)(sin x + cos x) = 2 sin² x – 1

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

Q: Prove the identity  Cos x/1+sin x + Cos x/ 1-sinx = 2sec x

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Q: prove the identity tanθ =1-cos2θ / sin 2θ

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

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

Q: 9. Verify the identity. (1–cos² x)(csc x) cot x 2 sin x(tan x) a)a

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Q: prove the identity  sin(x) + sin(3x) = 4 sin(x) cos2(x)

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Q: prove the identity.  1+Cos θ= Sin2θ/ 1-Cosθ

A: Given : 1 + cosθ = sin2θ1 - cosθ

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: 1) Prove that cose-sin*e 1- tan?e cose

A: Trigonometric identities help to prove the required expression. The algebraic formula…

Q: 24. Prove the identity 1 – (sin x – cos x)2 = sin 2x

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Q: Prove the identity. cos (x-y) sinx- sin(x-y) cosx= siny CoS Note that each Statement must be based…

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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. sin x 1+ cos x 1- cos x sin x

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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: Verify the identity. sin(-x)+cos(-x) = -sin x + cos x

A: We need to verify the identity: sin(-x)+cos(-x) = -sin x + cos x For this we need to have the graph…

Q: Verify the trigonometric identity sin(z - 1/2) = - cos(z)

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Q: Verify the identity by converting the left side into sines and cosines. sec(x) – cos(x) = sin(x)…

A: The given identity is secx-cosx=sinxtanx   identity used: 1-cos2x=sin2x

Q: Verify the identity. sin 40 = 4 cos '0 sin 0 – 4 sin °0 cos 0

A: To prove that  sin4θ=4 cos3θ sinθ-4sin3θ cosθ

Q: Verify the identity. 1- sin x + COs X 1 + sin x + cos X COS X | sin x + 1

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Q: Simplify the identity: : sin2 x cos x Cos 2 x sin x

A: given trigonometric identity  Sin2x.cosx/cos2xsinx  Can be solved by using formula as shown below

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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Q: 1- cos 0 1+ cos 0 sin 0

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Q: Prove the identity sin(7 – 0) = sin 0. %3D

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

A: Prove : cos 4x = 1 - 8 sin2x + 8 sin4x

Q: 2 – 2 cos 2.x 8. sec x csc x cot x + tanx - sin 2.x

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