Verify the identity. (1 – cos"(x)(1 + cot*«») = (1 - cos (x)(1 + cot°») - sin°C«) - 1 + sin (x) = sin (x) +

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

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

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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: 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: 2-sec2x: COS2X = COS X

A: Given query is to verify the identity

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

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Q: Suppose: sin(x) = -0.6638 cos(x) = 0.7479 tan(x) = -0.8875 Then, sin(-x) = 0.6638 cos(-x) 0.7479…

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

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

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: cscxdx 5+ cos²x sin²x

A: Evaluate: I=∫csc2x5+cos2xsin2xdx We know that, cos xsin x=cot x Then, we have I=∫csc2x5+cot2xdx

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

A: cos2x -sin2x=2cos2x-1

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

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Q: √3 csc x − 2 = 0  tan 3x(tan x − 1)  sin2 x = 3 cos2 x

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Q: 9. Prove. cos x sin x 1 - csc x %3D sec x

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

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Q: Verify the identity: [sin 2x + (sin 3x + sin x)]/[cos 2x + (cos 3x + cos x)] = tan 2x

A: Consider the identity, sin2x+sin3x+sinxcos2x+cos3x+cosx=tan2x To apply the trigonometric identity,…

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

A: Topic- trigonometry

Q: cos² (In x) sin²(In x)

A: Given: I=∫cos2(lnx)sin2(lnx)xdx

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: rove the identity. sin(3x)/sin(x)cos(x)=4cos(x)-sec(x)

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Q: (cos^4 x) - (sin^4 x) = cos2x   verify the identity

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Q: Find sin(x/2) =  cos(x/2) =  tan(x/2) =  Given tan(x) = 2sqrt2    0 degrees < x< 90 degrees

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Q: Verify the identity: cot(-x) sin x = -cos x

A: cot(-x)=-cot(x)cot(x)=cos(x)sin(x)

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: cos x/(1 - sin x) + (1 - sin x)/cos x = 2 sec x

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

Q: V3 1) tan 3 cos¯1 –1 -1 2) cos-1 | 3) sin- 0 4) tan-' (-V3) 5) tan- 6) sin- 7) cos 2 8) tan- –1

A: tan-133

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

A: The given trigonometric equation (identity) is: cos2x-sin2x=1-2sin2 x To verify this, take the left…

Q: Verify the identity. sin 5x + sin 3x 2 cos x 4 sin x cos3 x - X – 4 sin x cos x 3.

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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: Verify the identity. (Simplify at each step.) sin5/2 x cos x – sin9/2 x cos x = cos³ x/ sin5 x…

A: sin2X+cos2X=1 this is formula cos2X=1-sin2X

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: 1- sin(-x) 11. cos x+ cos(-x)sin = sec x

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

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

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