Which of the following equations does not hold for all values of x and y? cos(r + y) = cos(x) cos(y) – sin(x) sin(y) sin(2x) = 2 sin(x) cos(x) sin? æ + cos (x) =1 sin(-a) = - sin(x) sin(x + y) = sin(x) + sin(y)

Q: (sin°(3x) + sin²(3x)) cos(3x) dx

A: We have to find the indefinite integral.

Q: Prove that sin(x + y) sin(x − y) = sin²x − sin²y. -

A: Formula's

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A:

Q: (b) S tan3 x sec² x dx c) S sin³x cos5 x dx

A: The explanation of the solution is :

Q: 4 sec(8) = find cot(0) 2

A: Use trigonometric rations

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Q: sin(cos (2x)), where 0<x<

A:

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A:

Q: sin(x) + cos(y) 1 + sin(x) cos(y).

A: Given query is to find the dy/dx at x = 0 and y = π/2

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

A:

Q: sin(2x) 2+ cos(2z) da ++

A:

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: Differentiate y= cos y2x +1 sin 2x+1 A. V2x+1 sin 2x+1 B. V2x+1 sin 2x+1 C. V2x-1 sin 2x-1 D. V2x+1

A: Please refer the attached image for complete solution. THANK YOU.

Q: Set up and solve the following system of equations using an augmented marix: 2x−y+2z=6  −x + y + z…

A: