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

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

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

prove

tan (x) cos^{2} (x) csc^{2} (x) = cot (x)

True

Solution steps

tan (x) cos^{2} (x) csc^{2} (x) = cot (x)

Manipulating left side

tan (x) cos^{2} (x) csc^{2} (x)

Express with sin, cos

= \frac{cos ( x )}{sin ( x )}

Use the basic trigonometric identity:

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

= cot (x)

We showed that the two sides could take the same form

\Rightarrow True

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

cos (- x) \cdot cot (x) + sin (x) = csc (x)

\frac{0}{sin ( θ )} = \frac{1}{sin ( θ )} + 3

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

2 sin (x) - cot (x) = - cot (x) \cdot 2 cot (x)

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