Is cos(x)=((csc(x)cot(x)))/(csc^2(x)) ?

The answer to whether cos(x)=((csc(x)cot(x)))/(csc^2(x)) is True

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prove cos(x)=((csc(x)cot(x)))/(csc^2(x))

prove

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

True

Solution steps

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

Manipulating right side

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

Express with sin, cos

= cos (x)

We showed that the two sides could take the same form

\Rightarrow True

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

\frac{sec ( x )}{- csc ( x )} + \frac{- sin ( x )}{cos ( x )} = - 2 tan (x)

1 = \frac{sec ( u ) + tan ( u )}{sec ( u ) + tan ( u )}

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

\frac{1}{2} cot (x) - \frac{1}{2} tan (x) = cot (2 x)

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