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

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

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simplify sin(2x-pi/6)

simplify

sin (2 x - \frac{π}{6})

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

Solution steps

sin (2 x - \frac{π}{6})

Rewrite using trig identities

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

tan (θ - 18 0^{\circ})

\frac{1}{1 - sin ^{2} ( x )}

sin (54 0^{\circ} + θ)

sin (arctan (\frac{x}{9}))

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

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