What is 2sin(x+pi/6) ?

The solution to 2sin(x+pi/6) is sqrt(3)sin(x)+cos(x)

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simplify 2sin(x+pi/6)

simplify

2 sin (x + \frac{π}{6})

3 sin (x) + cos (x)

Solution steps

2 sin (x + \frac{π}{6})

Rewrite using trig identities

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

Simplify

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

= 3 sin (x) + cos (x)

- sin (x - \frac{π}{4})

sin (- 4 5^{o})

2 sin (2 x - \frac{π}{4})

u^{2} \frac{d u}{sin ( x )}

2 1 - sin^{2} (x)