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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

= cos (x) + 1

= 1 + cos (x)

We showed that the two sides could take the same form

\Rightarrow True

cos (- 2 x) = cos (2 x)

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

\frac{1}{csc ( θ )} = sin (θ)

\frac{1 + cos ( x )}{1 + sec ( x )} = cos (x)

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

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