What is 6sin^3(2x+pi/3) ?

The solution to 6sin^3(2x+pi/3) is 6(1/2 sin(2x)+(sqrt(3))/2 cos(2x))^3

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simplify 6sin^3(2x+pi/3)

simplify

6 sin^{3} (2 x + \frac{π}{3})

6 (\frac{1}{2} sin (2 x) + \frac{3}{2} cos (2 x))^{3}

Solution steps

6 sin^{3} (2 x + \frac{π}{3})

Rewrite using trig identities

= 6 (\frac{1}{2} sin (2 x) + \frac{3}{2} cos (2 x))^{3}

cos (arcsin (a x))

- 2 cos (3 x - \frac{π}{2})

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

tan (arccos (\frac{x}{5}))

1 + (tan (x))^{2}

What is 6sin^3(2x+pi/3) ?
The solution to 6sin^3(2x+pi/3) is 6(1/2 sin(2x)+(sqrt(3))/2 cos(2x))^3