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

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

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

simplify

cos (2 x + \frac{2 π}{3})

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

Solution steps

cos (2 x + \frac{2 π}{3})

Rewrite using trig identities

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

cot (- θ)

cos (θ - π)

cos (nπ) - cos (- nπ)

cos (- n)

sin (x + \frac{3 π}{4})

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