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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

= sin (x) + 1

= 1 + sin (x)

We showed that the two sides could take the same form

\Rightarrow True

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

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

sin (3 x) = sin (x) (3 - 4 sin^{2} (x))

1 + sec (θ) tan (θ) sin (θ) = sec^{2} (θ)

2 - cos^{2} (θ) = 1 + sin^{2} (θ)

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