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

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

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simplify 2(sin(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)

- cos (2 nπ)

sin (α - \frac{π}{2})

8 cos (x + \frac{π}{4})

cos (arcsin (4 w))

- cos (θ) - (- cos (- θ))