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

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

cos^{2} (B) = \frac{1}{2} (1 + cos (2 B))

sin (θ + π) = - sin (θ)

tan^{2} (x) sec^{2} (x) - tan^{2} (x) = tan^{4} (x)

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