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Question

If x=30° then verify that sin3x=3sin(x)-4sin3x


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Solution

Verifying sin3x=3sin(x)-4sin3x for x=30°:

Taking L.H.S., we get,

sin3x=sin3×30°=sin90°=1

Taking R.H.S, we get,

3sin(x)-4sin3x=3sin(30°)-4sin330°=3×12-4×123(sin(30°)=12)=32-48=12-48=88=1

On comparing L.H.S and R.H.S. we get,

L.H.S.=R.H.S=1

Hence, sin3x=3sin(x)-4sin3x is verified.


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