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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

= cos (x)

We showed that the two sides could take the same form

\Rightarrow True

csc (2 x) = \frac{csc ( x )}{2 cos ( x )}

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

cos (θ + \frac{π}{2}) = - sin (θ)

sin^{2} (a) + cos^{2} (a) = 1

csch^{2} (x) = coth^{2} (x) - 1

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