/(sin x+cos

Q: sinx 4 COS x cos*. COS x

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: 3. cos x +sin x- cos(2x) sin(2x), cos(3x), 4 8. ...

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Q: Sinx=1/2 Cos2x=

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Q: cos x-2 cos 3x + cos 5x b. cos x +2 cos 3x + cos 5x :-tan x. %3D

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

A: To prove: (csc⁡x−cot⁡x)2=1−cos⁡x1+cos⁡x We know that csx = 1sinx, cotx=cosxsinx

Q: sin(3x) cos(6x) – cos(3x) sin(6x) = -0.6 X =

A: There is trigonometric identity sinA-B= sinAcosB-cosAsinB

Q: Cotx-tanx=cos(2x)/sin(x)cos(x)

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Q: Prove the Identity

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Q: cos x - sec x = 0

A: Given equation can be written as Since secx=1/cosx Therefore, we have

Q: cos 2x + 2 sin 2 x = _______

A: This question can be solved by applying the formula of cos2x cos2x=cos2x-sin2x

Q: Simplify (cos x- sinx)(cosx+ sinx) sin x cos'x cos x 2 cos x- 1 2 cos x+ 1

A: Given expression, cosx-sinxcosx+sinx

Q: Prove the identity. sin'x cos'x = (cosx-cos x) sinx 3. cos x- cos x) sinx

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Q: 7x cos()-7x [sin(-2x)sin(5x)sin(7x)] – lim 2x cos(x) lim x-0 5x?

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Q: sin (3x) + cos (3x) cos(x) – =1+4sin(x)cos(x)

A: We use sin(3x)= 3sinx-4sin3x and cos (3x)= 4cos3x-3cosx .

Q: sin x 1+cosx 2csc x= 1+cos x sinx

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Q: cos(-x)+sin(x=x) Q4 prove that sinx 2

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Q: 2. cotx = sin xsin π 2 --x+cos² x cotx

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Q: cos x + sin² x + 1 dx cos² x (sin² x + 1)

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Q: cos(x) – cos³ (x) = cos(x) sin²(x)

A: Here we use basic trigonometric relations,  We have,      Sin²(x) +Cos²(x) = 1         1— Cos²(x) =…

Q: cos 2x - 2 sin x- cosʻx=-3

A: Consider cos 2x-2 sin x-cos2 x=-3  . . . . . (1) We have cos 2x=2 cos2 x-1 . . . .  . . (2)

Q: VERIFY THE IDENTITY

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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: 8 sin x cos x sec x =

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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: cos x sin x = csc 2x cos 3x sec 2x

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Q: 1-Cos 2x 1+ Cos 2x ix) tan x=

A: Prove :

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

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Q: sin x 1+ cosx 1+ cosx sin x 2cscx 2secx 1

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Q: sin 2x cos x + cos 2x sin x = −1

A: sin(x+y)=sin(x).cos(y)+cos(x).sin(y) if sin (θ)=-1       then  θ=(2nπ+3π/2)  where n is an integer

Q: 1. sin x sin 2x + cos x cos 2x = COS X

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

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Q: Integrate cosx cos (x-a)

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Q: cos4x - sin4x = cos 2 x 2 cos 2 x -cos 2 x

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Q: 1+ cosx + sinx sinx 1+cos X 2sec x 2csc x 2csc 2x 2sec 2x

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Q: cos x-sinxtanx=

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Q: COs x + sinx COS x - Sln x - sin = 2 tan 2x %3D Cos x- sin x COS x + sin x

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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: cos 4x cos(-2x) – sin 4x sin(-2x)

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Q: sin 2x+cos2x+1 1- Prove cot x %3D sin 2x-cos 2x+1

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Q: cos 2x-sin x 4. -(tan x +secx) %3D sin 2x - cos x

A: Given: prove that cos2x-sinxsin2x-cosx=-tanx+secx For verifying given expression, we solve left hand…

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: sin³ 4z cos° 4zdz

A: Here we have to integrate the given integral.

Q: Solve over the interval [0,2pi)

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Q: Find x where 0 ≤ x ≤ 2π. cos²x - cos x - 2 = 0

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