Sin cube x + sin cube 2 pi by 3 + X + sin cube 453 + X equal to 3 by 4 sin 3x
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Step-by-step explanation:
sin3x=3sinx-4sin^3x
sin^3x=sin3x-3sinx/-4
sin^3=3sinx-sin3x/4
3sinx-sin3x/4+3sinx(2pi/3+x) -sin3x/4+3sin(4pi/3+x)-sin3x/4
-3/4sin3x+3/4[sinx+sin(2pi/3+x)+sin(4pi/3+x)]
-3/4 sin^3x+3/4[sinx+root3/2cosx-1/2sinx-root3/2cosx-1/2sinx]
-3/4sin3x+0
-3/4sin3x
Hence, Proved
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