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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

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

We showed that the two sides could take the same form

\Rightarrow True

sec (2 x) = \frac{1}{cos ( 2 x )}

(sin (x) + cos (x)) 2 = 1 + sin (2 x)

cot (x) cos (x) = csc (x) - sin (x)

sec (2 α) 2 - sec (2 α) = sec (2 α)

\frac{sin ( 2 θ )}{sin ( 4 θ )} = \frac{1}{2} sec (2 θ)

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