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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

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

We showed that the two sides could take the same form

\Rightarrow True

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7 csc^{2} (θ) - 5 cot^{2} (θ) = 2 csc^{2} (θ) + 5

cos (θ) = \frac{cot ( θ )}{csc ( θ )}

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