Is sin^2(3x)=9sin^3(x)cos^3(x) ?

The answer to whether sin^2(3x)=9sin^3(x)cos^3(x) is False

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prove sin^2(3x)=9sin^3(x)cos^3(x)

prove

sin^{2} (3 x) = 9 sin^{3} (x) cos^{3} (x)

False

Solution steps

sin^{2} (3 x) = 9 sin^{3} (x) cos^{3} (x)

Show that the two sides are not equal

For

sin^{2} (3 x) = 9 sin^{3} (x) cos^{3} (x)

plug in

x = 1

sin^{2} (3 \cdot 1) = 0.01991 \dots

sin^{2} (3 \cdot 1)

Refine to a decimal form

= 0.01991 \dots

9 sin^{3} (1) cos^{3} (1) = 0.84580 \dots

9 sin^{3} (1) cos^{3} (1)

Refine to a decimal form

= 0.84580 \dots

The two sides are not equal

\Rightarrow False

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Is sin^2(3x)=9sin^3(x)cos^3(x) ?
The answer to whether sin^2(3x)=9sin^3(x)cos^3(x) is False