What is (sin(2pix+2pix))/4 ?

The solution to (sin(2pix+2pix))/4 is (sin(2pix)cos(2pix))/2

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simplify (sin(2pix+2pix))/4

simplify

\frac{sin ( 2 π x + 2 π x )}{4}

\frac{sin ( 2 π x ) cos ( 2 π x )}{2}

Solution steps

\frac{sin ( 2 π x + 2 π x )}{4}

Rewrite using trig identities

= \frac{2 sin ( 2 π x ) cos ( 2 π x )}{4}

Cancel the common factor:

2

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

cot (- a)

cos (arctan (a))

2 sin (\frac{π}{3} + 2 πn)

cot (θ - π)

tan (a - \frac{π}{2})

What is (sin(2pix+2pix))/4 ?
The solution to (sin(2pix+2pix))/4 is (sin(2pix)cos(2pix))/2