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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Express with sin, cos

= sin (x)

We showed that the two sides could take the same form

\Rightarrow True

csc (2 θ) + cot (2 θ) = cot (θ)

- tan (x) cos (x) = sin (- x)

sin (x - \frac{3 π}{2}) = cos (x)

cos (x + 2 π) = cos (x)

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

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