Is sin^2(x)= 1/(csc^2(x)) ?

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

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prove sin^2(x)= 1/(csc^2(x))

prove

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

True

Solution steps

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

Manipulating right side

\frac{1}{csc ^{2} ( x )}

Express with sin, cos

= sin^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

\frac{cot ( 4 u ) - 1}{cot ( 4 u ) + 1} = \frac{1 - tan ( 4 u )}{1 + tan ( 4 u )}

sin (- x) = sin (x - π)

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

sin (4 a) = 4 sin (a) cos (a) cos (2 a)

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

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