What is cos(x+(2pi)/3)-2 ?

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

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simplify cos(x+(2pi)/3)-2

simplify

cos (x + \frac{2 π}{3}) - 2

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

Solution steps

cos (x + \frac{2 π}{3}) - 2

Rewrite using trig identities

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

(1 + tan^{2} (x))^{\frac{3}{2}}

sin (- t) \cdot sec (t) - tan (- t)

sin (6 0^{\circ} + a)

sin (- 2 t) - sin (2 t)

4 tan^{2} (x) + 4

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