What is sin(15t-(2pi)/3) ?

The solution to sin(15t-(2pi)/3) is -1/2 sin(15t)-(sqrt(3))/2 cos(15t)

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simplify sin(15t-(2pi)/3)

simplify

sin (15 t - \frac{2 π}{3})

- \frac{1}{2} sin (15 t) - \frac{3}{2} cos (15 t)

Solution steps

sin (15 t - \frac{2 π}{3})

Rewrite using trig identities

= - \frac{1}{2} sin (15 t) - \frac{3}{2} cos (15 t)

cos (arctan (- \frac{1}{g}))

cos (8 π + θ)

1 - cos^{2} (t)

1 + tan^{2} (\frac{π}{2} - x)

- sin (x - \frac{π}{2})

What is sin(15t-(2pi)/3) ?
The solution to sin(15t-(2pi)/3) is -1/2 sin(15t)-(sqrt(3))/2 cos(15t)