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

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

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

prove

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

True

Solution steps

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

Manipulating right 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

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

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

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

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

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

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