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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

= sin (x) cos (x)

We showed that the two sides could take the same form

\Rightarrow True

\frac{4 - cos ( 2 x )}{8} = sin^{2} (x) cos^{2} (x)

3 sin (x) = cos (x) cot (x)

1 = \frac{sec ( θ ) cot ( θ )}{csc ( θ )} - cot^{2} (θ)

(sec (α) + csc (α)) (cos (α) - sin (α)) = cot (α) - tan (α)

\frac{tan ^{2} ( θ )}{sec ^{2} ( θ )} = (1)

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