Is (sin^2(θ))/(1-cos(θ))=1+cos(θ) ?

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

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prove (sin^2(θ))/(1-cos(θ))=1+cos(θ)

prove

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

True

Solution steps

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

Manipulating left side

\frac{sin ^{2} ( θ )}{1 - cos ( θ )}

Rewrite using trig identities

= cos (θ) + 1

= 1 + cos (θ)

We showed that the two sides could take the same form

\Rightarrow True

csc (2 θ) = \frac{1}{2} sec (θ) csc (θ)

sin (x) (1 + cot (x)) = sin (x) + cos (x)

arcsin (x) = \frac{1}{sin ( x )}

cot (\frac{π}{2} - x) csc (x) = sec (x)

csc^{2} (x) + sec^{2} (x) = csc^{2} (x) sec^{2} (x)

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