What is cos(4pix)sin(4pix) ?

The solution to cos(4pix)sin(4pix) is (sin(8pix))/2

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simplify cos(4pix)sin(4pix)

simplify

cos (4 π x) sin (4 π x)

\frac{sin ( 8 π x )}{2}

Solution steps

cos (4 π x) sin (4 π x)

Rewrite using trig identities

= \frac{sin ( 8 x π )}{2}

sin (- 2 x) - sin (2 x)

tan (3 π - θ)

cos (v + \frac{3 π}{2})

cos (- arctan (m))

- sin (t - π) u (t - π)

What is cos(4pix)sin(4pix) ?
The solution to cos(4pix)sin(4pix) is (sin(8pix))/2