Is ((sin(2x))/(1-cos(2x)))=cot(x) ?

The answer to whether ((sin(2x))/(1-cos(2x)))=cot(x) is True

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prove ((sin(2x))/(1-cos(2x)))=cot(x)

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

= \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

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

csc (x) = - \frac{5}{4}

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

\frac{1}{cos ( x )} = arccos (x)

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

Is ((sin(2x))/(1-cos(2x)))=cot(x) ?
The answer to whether ((sin(2x))/(1-cos(2x)))=cot(x) is True