What is sin(2t+(2pi)/3)-sin(3t) ?

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

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simplify sin(2t+(2pi)/3)-sin(3t)

simplify

sin (2 t + \frac{2 π}{3}) - sin (3 t)

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

Solution steps

sin (2 t + \frac{2 π}{3}) - sin (3 t)

Rewrite using trig identities

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

sin (a r cos (- 1))

i sin ((2 n - 1) \cdot \frac{π}{2})

cos (t - π) - sin (t - π)

sec (- t) - cos (- t) tan^{2} (- t)

cos (2 π + nπ)

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