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The general solution of sin3x +sinx-3 si...

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

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • 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))`

  • 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 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)`

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