What is cos(x+pi/6) ?

The solution to cos(x+pi/6) is (sqrt(3))/2 cos(x)-1/2 sin(x)

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simplify cos(x+pi/6)

simplify

cos (x + \frac{π}{6})

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

Solution steps

cos (x + \frac{π}{6})

Rewrite using trig identities

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

tan (arcsin (\frac{4}{x}))

\frac{1}{1 + tan ^{2} ( θ )}

sin (x + \frac{2 π}{3})

sin (27 0^{\circ} + θ)

sin (x - \frac{2 π}{3})

What is cos(x+pi/6) ?
The solution to cos(x+pi/6) is (sqrt(3))/2 cos(x)-1/2 sin(x)