What is sin(x-(4pi)/3) ?

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

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simplify sin(x-(4pi)/3)

simplify

sin (x - \frac{4 π}{3})

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

Solution steps

sin (x - \frac{4 π}{3})

Rewrite using trig identities

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

csc (arcsec (x))

4 cos (x) - 2 sin (3 0^{\circ} + x)

cos (θ + \frac{π}{4})

tan (arccot (x))

cos (27 0^{\circ} + θ)

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