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

The solution to 2(cos(x-(2pi)/3)+2) is -cos(x)+sqrt(3)sin(x)+4

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

simplify

2 (cos (x - \frac{2 π}{3}) + 2)

- cos (x) + 3 sin (x) + 4

Solution steps

2 (cos (x - \frac{2 π}{3}) + 2)

Rewrite using trig identities

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

Simplify

2 (- \frac{1}{2} cos (x) + \frac{3}{2} sin (x) + 2) : - cos (x) + 3 sin (x) + 4

= - cos (x) + 3 sin (x) + 4

sin (\frac{x}{2} - 2 π)

cos (nπ) + cos (- nπ)

cos (θ - 24 0^{\circ})

cot (arcsin (u))

sin (\frac{3}{2} π - x)

What is 2(cos(x-(2pi)/3)+2) ?
The solution to 2(cos(x-(2pi)/3)+2) is -cos(x)+sqrt(3)sin(x)+4