Is sin^3(x)=(1-cos^2(x))sin(x) ?

The answer to whether sin^3(x)=(1-cos^2(x))sin(x) is True

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prove sin^3(x)=(1-cos^2(x))sin(x)

prove

sin^{3} (x) = (1 - cos^{2} (x)) sin (x)

True

Solution steps

sin^{3} (x) = (1 - cos^{2} (x)) sin (x)

Manipulating right side

(1 - cos^{2} (x)) sin (x)

Rewrite using trig identities

= sin^{3} (x)

We showed that the two sides could take the same form

\Rightarrow True

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Is sin^3(x)=(1-cos^2(x))sin(x) ?
The answer to whether sin^3(x)=(1-cos^2(x))sin(x) is True