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

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

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

prove

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

True

Solution steps

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

Manipulating right side

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

Rewrite using trig identities

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

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

We showed that the two sides could take the same form

\Rightarrow True

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

cos^{2} (3 x) - sin^{2} (3 x) = cos (6 x)

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

\frac{cos ( t )}{1 - sin ( t )} = sec (t) + tan (t)

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

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