Is (1+cos(2θ))/(sin(2θ))=cot(θ) ?

The answer to whether (1+cos(2θ))/(sin(2θ))=cot(θ) is True

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prove (1+cos(2θ))/(sin(2θ))=cot(θ)

prove

\frac{1 + cos ( 2 θ )}{sin ( 2 θ )} = cot (θ)

True

Solution steps

\frac{1 + cos ( 2 θ )}{sin ( 2 θ )} = cot (θ)

Manipulating left side

\frac{1 + cos ( 2 θ )}{sin ( 2 θ )}

Rewrite using trig identities

= \frac{cos ( θ )}{sin ( θ )}

Use the basic trigonometric identity:

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

= cot (θ)

We showed that the two sides could take the same form

\Rightarrow True

cot (x) \cdot sin (x) = cos (x)

\frac{sec ( t )}{cos ( t )} - \frac{tan ( t )}{cot ( t )} = 1

\frac{cot ( y )}{sec ( y )} = csc (y) - sin (y)

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

csc (θ) = cos (θ) cot (θ) + sin (θ)

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