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show that sin x+sin 3x +sin 5x +sin 7x ...

show that ` sin x+sin 3x +sin 5x +sin 7x =4 sin 4x cos 2x cos x`.

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Prove that sin x + sin 3x + sin 5x + sin 7x=4 sin 4x cos 2x cos x.

show that sin x+sin3x+sin5x+sin7x=4sin4x cos2x cos x

Knowledge Check

  • 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)`

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

    Prove that : sin x+sin3x+sin5x+sin7x=4cos x cos2x sin4x

    Solve sin x-3 sin 2x + sin 3x = cos x -3 cos 2x + cos 3x .

    prove that sin x+sin3x+sin5x+sin7x=4cos x cos2x sin4x

    Prove the following Identities sin x +sin 2x + sin 4x +sin 5x = 4 cos(x/2).cos((3x)/2)sin3x

    (cos 4x sin 3x -cos 2x sin x )/(sin 4x sin x+ cos 6x cos x)= tan 2x

    (sin 5x + sin 3x)/(cos 5x + cos 3x) = tan 4x

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