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sin 3x + sin 2x - sin = 4sin x cos "" x/...

`sin 3x + sin 2x - sin = 4sin x cos "" x/2 cos "" (3x)/(2)`

Answer

Step by step text solution for sin 3x + sin 2x - sin = 4sin x cos "" x/2 cos "" (3x)/(2) by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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

Solve sin x=0 and ( sin x )/(cos ""(x)/2 cos ""(3x)/2)=0 and show their solutions are different .

Knowledge Check

  • If f(x) = |(sin x + sin 2x + sin 3x, sin 2x , sin 3x),(3 + 4 sin x, 3, 4 sin x),(1 + sin x, sin x, 1)| then the value of int_0^(-pi//2) f(x) dx equals :

    A
    0
    B
    `1/3`
    C
    `2/3`
    D
    `3`
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