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

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

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

simplify

2 cos (x - \frac{5 π}{6})

- 3 cos (x) + sin (x)

Solution steps

2 cos (x - \frac{5 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)

4 sec^{2} (x) - 4

cot (arccos (\frac{x}{8}))

2 cos (π + x)

sin (arctan (θ))

cot (π + x)

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