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

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

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simplify-cos(pi/3+x)

simplify

- cos (\frac{π}{3} + x)

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

Solution steps

- cos (\frac{π}{3} + x)

Rewrite using trig identities

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

Simplify

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

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

(4 tan (θ))^{2} + 16

1 + cot^{2} (- θ)

tan^{3} (arcsec (\frac{x}{3}))

tan (arccos (\frac{x}{13}))

- cos^{3} (18 0^{\circ} + X)

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