What is sin((5pi)/6+x) ?

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

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simplify sin((5pi)/6+x)

simplify

sin (\frac{5 π}{6} + x)

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

Solution steps

sin (\frac{5 π}{6} + x)

Rewrite using trig identities

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

9 tan^{2} (a) + 9

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

- 3 cos (\frac{1}{2} x - 2 π)

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

sin (\frac{- πn}{2})

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