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

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

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simplify 2sin(u+pi/3)

simplify

2 sin (u + \frac{π}{3})

sin (u) + 3 cos (u)

Solution steps

2 sin (u + \frac{π}{3})

Rewrite using trig identities

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

Simplify

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

= sin (u) + 3 cos (u)

tan (arctan (x) + \frac{π}{4})

sin (15 0^{\circ} - x)

1 - sin (- x)

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

sin (\frac{- 7 x}{6})