Is 1+(cos^2(θ))/(1+sin(θ))=sin(θ) ?

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

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prove 1+(cos^2(θ))/(1+sin(θ))=sin(θ)

prove

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

False

Solution steps

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

Show that the two sides are not equal

\Rightarrow False

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

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

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

cot^{2} (x) (1 - cos^{2} (x)) = cos^{2} (x)

sec^{2} (θ) = 1 + tan^{2} (θ)

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