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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Simplify

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

= 1 + sin (x)

We showed that the two sides could take the same form

\Rightarrow True

1 + cos (2 A) = sin (A)

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

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

cos (x) 2 sin (x) = sin (2 x)

\frac{csc ( a )}{csc ( a ) - sin ( a )} = sec^{2} (a)

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