What is cos(2x-(5pi)/6) ?

The solution to cos(2x-(5pi)/6) is -(sqrt(3))/2 cos(2x)+1/2 sin(2x)

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simplify cos(2x-(5pi)/6)

simplify

cos (2 x - \frac{5 π}{6})

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

Solution steps

cos (2 x - \frac{5 π}{6})

Rewrite using trig identities

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

4 sin (\frac{π}{6} + x) - cos (x)

- cos (\frac{π}{3} + x)

(4 tan (θ))^{2} + 16

1 + cot^{2} (- θ)

tan^{3} (arcsec (\frac{x}{3}))

What is cos(2x-(5pi)/6) ?
The solution to cos(2x-(5pi)/6) is -(sqrt(3))/2 cos(2x)+1/2 sin(2x)