Is (tan^2(x))/(sec^2(x))=sin^2(x) ?

The answer to whether (tan^2(x))/(sec^2(x))=sin^2(x) is True

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prove (tan^2(x))/(sec^2(x))=sin^2(x)

prove

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

True

Solution steps

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

Manipulating left side

\frac{tan ^{2} ( x )}{sec ^{2} ( x )}

Express with sin, cos

= sin^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

cot^{2} (x) = 1 + csc^{2} (x)

tan^{4} (t) + tan^{2} (t) = sec^{4} (t) - sec^{2} (t)

tan^{2} (x) cos^{2} (x) = sin^{2} (x)

tan (A) = \frac{sec ( A )}{csc ( A )}

csc (- x) = - csc (x)

Is (tan^2(x))/(sec^2(x))=sin^2(x) ?
The answer to whether (tan^2(x))/(sec^2(x))=sin^2(x) is True