Is cos^4(x)=(1-sin^2(x))^2 ?

The answer to whether cos^4(x)=(1-sin^2(x))^2 is True

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prove cos^4(x)=(1-sin^2(x))^2

prove

cos^{4} (x) = (1 - sin^{2} (x))^{2}

True

Solution steps

cos^{4} (x) = (1 - sin^{2} (x))^{2}

Manipulating right side

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

Rewrite using trig identities

= cos^{4} (x)

We showed that the two sides could take the same form

\Rightarrow True

\frac{\frac{1}{c s c ( x )}}{\frac{1}{c o t ( x )}} = cos (x)

cos (- x) = - cos (x)

\frac{1 - sin ^{2} ( θ )}{cos ( θ )} = cos (θ)

\frac{sin ( θ )}{csc ( θ )} = sin^{2} (θ)

tan (\frac{2 π}{3}) = - 3

Is cos^4(x)=(1-sin^2(x))^2 ?
The answer to whether cos^4(x)=(1-sin^2(x))^2 is True