What is 3cos(-5/6 pi+x) ?

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

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simplify 3cos(-5/6 pi+x)

simplify

3 cos (- \frac{5}{6} π + x)

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

Solution steps

3 cos (- \frac{5}{6} π + x)

Rewrite using trig identities

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

2 sin (x + \frac{π}{6})

- sin (x - \frac{π}{4})

sin (- 4 5^{o})

2 sin (2 x - \frac{π}{4})

u^{2} \frac{d u}{sin ( x )}

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