What is sin(4t+pi/3) ?

The solution to sin(4t+pi/3) is 1/2 sin(4t)+(sqrt(3))/2 cos(4t)

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simplify sin(4t+pi/3)

simplify

sin (4 t + \frac{π}{3})

\frac{1}{2} sin (4 t) + \frac{3}{2} cos (4 t)

Solution steps

sin (4 t + \frac{π}{3})

Rewrite using trig identities

= \frac{1}{2} sin (4 t) + \frac{3}{2} cos (4 t)

cos (2 t - π)

cos (\frac{3 π}{2} - θ)

sec (θ - 18 0^{\circ})

cos (- α)

sin (6 0^{\circ} - x)

What is sin(4t+pi/3) ?
The solution to sin(4t+pi/3) is 1/2 sin(4t)+(sqrt(3))/2 cos(4t)