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

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

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

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

1 - cos^{2} (x) + 3 = 2 sin (x) + 3

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