What is simplify-sin(x+pi/3) ?

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

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simplify-sin(x+pi/3)

simplify

- sin (x + \frac{π}{3})

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

Solution steps

- sin (x + \frac{π}{3})

Rewrite using trig identities

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

Simplify

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

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

tan (- 4 x)

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

csc (arccos (\frac{x}{7}))

sec^{3} (\frac{π}{2} - x)

csc (arctan (q))

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