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

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

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

prove

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

True

Solution steps

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

Manipulating right side

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

Rewrite using trig identities

= sin^{4} (x)

We showed that the two sides could take the same form

\Rightarrow True

sec (z) cot (z) sin (z) = 1

cos (θ) = \frac{2}{3}

cos (4 x) + sin (4 x) = cos (2 x)

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

sin (2 π - B) = - sin (B)

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