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The general solution of sinx - 3 sin 2x...

The general solution of `sinx - 3 sin 2x + sin3x = cos x - 3 cos 2x + cos 3x ` is.

A

`npi+(pi)/(8)`

B

`(npi)/(2)+(pi)/(8)`

C

`(-1)^(n)(npi)/(2)+(pi)/(8)`

D

`2npi+"cos"^(-1)(3)/(2)`

Text Solution

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The correct Answer is:
b
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Knowledge Check

  • The general solution of sinx - 3 sin 2 x + sin 3x = cos x - 3cos 2x + cos 3 x is

    A
    `npi +pi//8`
    B
    `npi //2 + pi//8`
    C
    `(-1)^n (n pi//2) + (pi//8)`
    D
    `2 npi + cos^(-1) (3//2)`
  • The general solution of sin x -3 sin 2x+ sin 3x= cos x-3 cos 2x +cos 3x is

    A
    `n pi +(pi)/(8)`
    B
    `(n pi)/(2)+(pi)/(8)`
    C
    `(-1)^(n) (n pi)/(2)+(pi)/(8)`
    D
    `2 n pi + cos^(-1) ""(3)/(2)`
  • The general solution of sin3x +sinx-3 sin 2x=cos 3x+ cos x-3 cos 2x is

    A
    `(npi)/2+pi/8` for n integer
    B
    `(npi)/2 - pi/8` for n integer
    C
    `npi + pi/6` for n integer
    D
    `npi - pi/6` for n integer
  • Similar Questions

    Explore conceptually related problems

    (sin x + sin 3x)/(cos x - cos 3x) = ?

    (sin 3x + sin x) sin x + (cos 3x - cos x) cos x =0

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    The number of solution of sin x+sin 2x+sin 3x =cos x +cos 2x+cos 3x, 0 le x le 2pi , is

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