Factor  Cos^4 x + 2 cos^2x + 1

Q: Sinxtsina3x COSX+ COS 32 tan 22

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Q: 8. х'sin3xdx 3

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Q: Verify the identity: sec2 x csc2 x = sec2 x + csc2 x

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Q: 1 Evaluate | -1) – 1) sinx(2cosx -

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Q: sin34xdx Vcos4x

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Q: 2. y = sec- (6a2 –- 3x + 2) 3. y = (8x – 6) sin (8x – 6) 4. y = cos- (8x - 4)

A: As per the guidelines, I can solve only first 3 parts. Kindly repost for remaining parts

Q: find sin3xsin3x

A: Given:

Q: | tan 3x sec 3xdx 3.

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Q: write sin(3x)cos(6x) + cos(3x)sin(6x) as a single trig function

A: This question is related to Trigonometric identities, we will solve it using given information.

Q: sec(-0) cose 1-cos²0 csc20 CS

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Q: 5) 3tan-1x + sin-x = 4

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Q: 15. 2sin3x + sin²x - 2sinx -1 = 0

A: Given equation, 2sin3x+sin2x-2sinx-1=0

Q: 2-sec2x: COS2X = COS X

A: Given query is to verify the identity

Q: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: 4) sin- 2.

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Q: cos2x -4 in ax

A: Given,

Q: 1. sin62° =

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Q: 2sin x -1 y = cosx +2

A: Basic identities of trigonometry and differentiation are used

Q: Vtan XP sin X cosX

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Q: sin( 2 cos (x/ 20 )) = Select one: O 2x (400 - x )°/(400 - 2x) O 40 x/ (400 + x) O ( 2x - 400 ) /…

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Q: -sin^2(x)=cos(2x) from [-pi, pi]

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Q: sinxtanx/cosx+1

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Q: Solve: sin -1

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Q: Is Cscx-1/1-Sinx=cscx

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Q: Simplify. cos(-4x) · cos 2x – sin(-4x) · sin 2x cos(-2x_ sin(-6x) cos(-3x) cos(-x)

A: Using Cos(A+B) formula

Q: solve equation sin2θ = -cos2θ

A: The equation can be written as,

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: 1/sin ^2x + 1/cos^2x=1/sin^2x cos^2x

A: 1/sin ^2x + 1/cos^2x=1/sin^2x cos^2x

Q: 1+cos4x 1. 1-cos4x -csc2xdx

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Q: Cos(5x) cos(2x) + sin(5x) sin(2x)

A: Given: Cos(5x) cos(2x) + sin(5x) sin(2x)

Q: verify that -2cotx(csc^2x)= -csc^4x(sin(2x))

A: The proof is given in step-2.

Q: Integrate cosx cos (x-a)

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Q: im 2x² Sin 4x²

A: Given query is to find the limit of the expression.

Q: Sin52x ×cos 42x=

A: Consider the equation

Q: cos2x+1 CSCX cosx 2 tanx+cotx

A: cos2x+12=cosecx.cosxtanx+cotxL.H.S.=cos2x+12we know that…

Q: solve sin2Ɵ=2sin Ɵ . cos Ɵ sin4Ɵ=2sin Ɵ . cos Ɵ sin8Ɵ= sin3x= sin12x=

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Q: Solve sin 2x - sin x = 0 if 0 ≤ x < 2π.

A: Given:sin2x-sinx=0

Q: Trig Time! 200 300 500 800 -200 sin(7x) + 300 300 cos(27x) + 200 -500 cos(z) + 800 800 sin(27x) +…

A: Given

Q: 2 cos(4x) – 4 x² – 2 lim - - sin(6x) – x2 – 6x - - (Use calculator and write

A: The given limit is limx→02 cos(4x)-4x2-2sin(6x)-x2-6x

Q: Verify the identity. (Simplify at each step.) cos³ x sin4 x = (sin4 x — sin6 x)cos x cos³ x sin4 x =…

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Q: 1- cos 4x 9. sec2 2x – 1 = 1+ cos 4x

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Q: sec(-0) cos0 1-cos²0 csc²0 %D

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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: cos2 x(sec2 x - 1)

A: we know that secx=1/cosx. and the identity sin^2x+cos^2x=1.

Q: 5) 3tan-1x + sin-1x = 4

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Q: sin2 (5) : O cos2 () csc2 ( ) O csc2 ( 4) O cos2 ( 4)

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Q: 1 Cosx %3D secx+1 COSx+1

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

Q: arcsin(2x) ·

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