Is (cos^2(θ))/(1-sin(θ))=1+sin(θ) ?

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

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prove (cos^2(θ))/(1-sin(θ))=1+sin(θ)

prove

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

True

Solution steps

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

Manipulating left side

\frac{cos ^{2} ( θ )}{1 - sin ( θ )}

Rewrite using trig identities

= sin (θ) + 1

= 1 + sin (θ)

We showed that the two sides could take the same form

\Rightarrow True

2 csc (2 x) = tan (x) + cot (x)

cos (x + y) = cos (x) cos (y) - sin (x) sin (y)

sec^{2} (x) = tan^{2} (x) + 1

\frac{1 - cos ( θ )}{sin ( θ )} = csc (θ) - cot (θ)

csc^{2} (x) (1 - sin^{2} (x)) = cot^{2} (x)

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