Is sin^2(x)sin^2(x)=sin^4(x) ?

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

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prove sin^2(x)sin^2(x)=sin^4(x)

prove

sin^{2} (x) sin^{2} (x) = sin^{4} (x)

True

Solution steps

sin^{2} (x) sin^{2} (x) = sin^{4} (x)

Manipulating left side

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

Simplify

sin^{2} (x) sin^{2} (x) : sin^{4} (x)

= sin^{4} (x)

We showed that the two sides could take the same form

\Rightarrow True

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

cos (- 2 θ) = cos (2 θ)

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

cot (2 x) = (\frac{1}{2}) (cot (x) - tan (x))

4 - sin^{2} (x) = - (sin (x) + 2) (sin (x) - 2)

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