Math, asked by himanshukmrp007, 5 months ago

What is
sin 3x + cos 3x + 4 sin x-3 sin x +
3 cos x - 4 cos x​

Answers

Answered by SatishKumarVerma
0

Answer:

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Step-by-step explanation:

cos^3 x.sin3x + sin^3 x.cos 3x = 3/4

==> cos^3 x(3sin x - 4 sin^3 x)

+sin^3 x(4cos^3 x - 3 cos x) = 3/4

=> 3sin x.cos^3 x - 4cos^3 x.sin^3 x

+4sin^3 x.cos^3 x -3cos x.sin^3 x= 3/4

=> 3sin x.cos x(cos^2 x - sin^2 x) = 3/4

=> 4sinx.cosx.cos 2x = 1

=> 2.sin 2x.cos 2x = 1

=> sin 4x = sin (π/2)

=> 4x = nπ + (-1)^n .π/2

=> x = nπ/4 + (-1)^n.π/8

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