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

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

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simplify 2sin(x-pi/3)

simplify

2 sin (x - \frac{π}{3})

sin (x) - 3 cos (x)

Solution steps

2 sin (x - \frac{π}{3})

Rewrite using trig identities

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

Simplify

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

= sin (x) - 3 cos (x)

tan (arccos (\frac{y}{7}))

sec (x + π)

tan (27 0^{\circ} + a)

tan (sin (- 1 x))

- cos (π - nπ)