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

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

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

prove

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

True

Solution steps

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

Manipulating right 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

8 sin (x) cos (x) = 4 sin (2 x)

tan (x) cos (x) - \frac{1}{csc ( x )} = 0

sin^{7} (x) = (1 - cos^{2} (x))^{3} sin (x)

\frac{sec ( θ )}{csc ( θ )} = tan (θ)

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

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