Is csc^2(θ)= 1/(sin^2(θ)) ?

The answer to whether csc^2(θ)= 1/(sin^2(θ)) is True

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prove csc^2(θ)= 1/(sin^2(θ))

prove

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

True

Solution steps

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

Manipulating left side

csc^{2} (θ)

Express with sin, cos

= \frac{1}{sin ^{2} ( θ )}

We showed that the two sides could take the same form

\Rightarrow True

sin (x) = \frac{1}{2}

\frac{2 sin ( x ) cos ( x )}{2 sin ^{2} ( x )} = cot (x)

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

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

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

Is csc^2(θ)= 1/(sin^2(θ)) ?
The answer to whether csc^2(θ)= 1/(sin^2(θ)) is True