Is cos^5(x)=(1-sin^2(x))^2cos(x) ?

The answer to whether cos^5(x)=(1-sin^2(x))^2cos(x) is True

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prove cos^5(x)=(1-sin^2(x))^2cos(x)

prove

cos^{5} (x) = (1 - sin^{2} (x))^{2} cos (x)

True

Solution steps

cos^{5} (x) = (1 - sin^{2} (x))^{2} cos (x)

Manipulating right side

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

Rewrite using trig identities

= cos^{5} (x)

We showed that the two sides could take the same form

\Rightarrow True

\frac{1}{1 - sin ( x )} = sec^{2} (x) + sec (x) tan (x)

tan (\frac{x}{2}) = \frac{sin ( x )}{( 1 + cos ( x ) )}

\frac{csc ( x )}{cos ( x )} = tan (x) + cot (x)

\frac{1 + cos ( 2 θ )}{sin ( 2 θ )} = cot (θ)

cot (x) \cdot sin (x) = cos (x)

Is cos^5(x)=(1-sin^2(x))^2cos(x) ?
The answer to whether cos^5(x)=(1-sin^2(x))^2cos(x) is True