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

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

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simplify 2sin(2x-pi/6)

simplify

2 sin (2 x - \frac{π}{6})

3 sin (2 x) - cos (2 x)

Solution steps

2 sin (2 x - \frac{π}{6})

Rewrite using trig identities

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

Simplify

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

= 3 sin (2 x) - cos (2 x)

\frac{1}{tan ^{2} ( x ) + 1}

cos (\cdot arccos (x))

x d x + sec (x) sin (x)

cos (arcsin (\frac{m g}{T}))

sec (\frac{- 7 x}{6})