What is sin(x-(2pi)/3) ?

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

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simplify sin(x-(2pi)/3)

simplify

sin (x - \frac{2 π}{3})

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

Solution steps

sin (x - \frac{2 π}{3})

Rewrite using trig identities

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

- cos (x + π)

cos (55 \frac{π}{2} - x)

tan (- 18 0^{\circ} - x)

tan (x - \frac{1}{2} π)

cos (3 x - π)

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