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

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

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

prove

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

True

Solution steps

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

Manipulating right side

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

Rewrite using trig identities

= sin (u) cos (u)

We showed that the two sides could take the same form

\Rightarrow True

(cot (x) - 1)^{2} = csc^{2} (x) - 2 cot (x)

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

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

\frac{1}{tan ( θ )} = cot (θ)

tan (2 x) cos (2 x) = sin (2 x)

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