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

cot (x) tan (x) = sec (x) csc (x)

\frac{1}{csc ( x ) - sin ( x )} = tan (x) sec (x)

sec^{4} (θ) - tan^{4} (θ) = 1 + 2 tan^{2} (θ)

sin (0) tan (0) + cos (0) = sec^{2} (0)

tan (x) (tan (x) + cot (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