What is sin(x+(7pi)/6) ?

The solution to sin(x+(7pi)/6) is -(sqrt(3))/2 sin(x)-1/2 cos(x)

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simplify sin(x+(7pi)/6)

simplify

sin (x + \frac{7 π}{6})

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

Solution steps

sin (x + \frac{7 π}{6})

Rewrite using trig identities

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

cos (x + x)

cos (x) + cos (- x)

tan (- θ)

sin (arccos (3 x))

4 - (2 sin (θ))^{2}

What is sin(x+(7pi)/6) ?
The solution to sin(x+(7pi)/6) is -(sqrt(3))/2 sin(x)-1/2 cos(x)