What is simplify-4pisin(10pit-pi/3) ?

The solution to simplify-4pisin(10pit-pi/3) is -4pi(1/2 sin(10pit)-(sqrt(3))/2 cos(10pit))

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simplify-4pisin(10pit-pi/3)

simplify

- 4 π sin (10 π t - \frac{π}{3})

- 4 π (\frac{1}{2} sin (10 π t) - \frac{3}{2} cos (10 π t))

Solution steps

- 4 π sin (10 π t - \frac{π}{3})

Rewrite using trig identities

= - 4 π (\frac{1}{2} sin (10 π t) - \frac{3}{2} cos (10 π t))

15 - 13 cos (10 x + π)

cos (x - \frac{5 π}{4})

sin^{2} (θ) - 1 + 2 cos (θ) sin (θ)

1 - sin^{2} (- x)

sin (- y) - sin (2 π - y)

What is simplify-4pisin(10pit-pi/3) ?
The solution to simplify-4pisin(10pit-pi/3) is -4pi(1/2 sin(10pit)-(sqrt(3))/2 cos(10pit))