What is expand 4cos(2(x-pi/3))+1 ?

The solution to expand 4cos(2(x-pi/3))+1 is -2cos(2x)+2sqrt(3)sin(2x)+1

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expand 4cos(2(x-pi/3))+1

expand

4 cos (2 (x - \frac{π}{3})) + 1

- 2 cos (2 x) + 23 sin (2 x) + 1

Solution steps

4 cos (2 (x - \frac{π}{3})) + 1

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

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

Expand

4 (- \frac{1}{2} cos (2 x) + \frac{3}{2} sin (2 x)) : - 2 cos (2 x) + 23 sin (2 x)

= - 2 cos (2 x) + 23 sin (2 x) + 1

(1 - u - v, 1 - u, u) \cdot (1, 1, 1)

(r^{2} - 4 r - 5) \cdot e^{r x}

2 (C e^{- 2 x} + \frac{1}{3} e^{x})

(x - z)^{6}

\frac{1}{2 ( x + 5 ) ( x - 2 )}

What is expand 4cos(2(x-pi/3))+1 ?
The solution to expand 4cos(2(x-pi/3))+1 is -2cos(2x)+2sqrt(3)sin(2x)+1