What is 4cos(x+pi/3) ?

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

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simplify 4cos(x+pi/3)

simplify

4 cos (x + \frac{π}{3})

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

Solution steps

4 cos (x + \frac{π}{3})

Rewrite using trig identities

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

1 - (sin (x))^{2}

cot (18 0^{\circ} - x)

sin (arctan (\frac{a}{b}))

sin (x - 18 0^{\circ})

tan (18 0^{\circ} + x) cot (- x)

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