What is 2cos(u+pi/3) ?

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

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simplify 2cos(u+pi/3)

simplify

2 cos (u + \frac{π}{3})

cos (u) - 3 sin (u)

Solution steps

2 cos (u + \frac{π}{3})

Rewrite using trig identities

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

Simplify

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

= cos (u) - 3 sin (u)

cos (x - 6 0^{\circ})

2 sin (x - \frac{π}{2})

- sin (arccos (x))

sin (arctan (2 a))

\frac{1}{tan ( \frac{7 π}{2} - x )}