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

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

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simplify 2cos(x-pi/3)

simplify

2 cos (x - \frac{π}{3})

cos (x) + 3 sin (x)

Solution steps

2 cos (x - \frac{π}{3})

Rewrite using trig identities

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

Simplify

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

= cos (x) + 3 sin (x)

sin (3 t - 6 π)

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

tan (arcsin (w))

cos (arcsin (t))

5 sin (2 x + \frac{π}{2})