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

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

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

simplify

4 sin (\frac{x}{3} - \frac{π}{3})

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

Solution steps

4 sin (\frac{x}{3} - \frac{π}{3})

Rewrite using trig identities

= 4 (\frac{1}{2} sin (\frac{x}{3}) - \frac{3}{2} cos (\frac{x}{3}))

cos (- \frac{π}{2} + x)

sin (2 π - t)

sec (arccos (u))

sin (9 0^{\circ} - (a + b))

sin (arctan (e^{x}))

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