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

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

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simplify 2cos(x+pi/6)

simplify

2 cos (x + \frac{π}{6})

3 cos (x) - sin (x)

Solution steps

2 cos (x + \frac{π}{6})

Rewrite using trig identities

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

Simplify

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

= 3 cos (x) - sin (x)

sin^{2} (- t)

csc (π - x)

sec (arcsin (\frac{4 x}{5}))

sin (2 π f t - π) + sin (2 π f t + π)

sin (a - 9 0^{\circ})