Question

Find value of 3 sin 60- 4sin^3 60​

Answer 1

Step-by-step explanation:

$\sf{3\sin(60°)-4\sin^{3}(60°)}$

$\sf{=3\times{\frac{\sqrt{3}}{2}}-4\times{(\frac{\sqrt{3}}{2})^{3}}}$

$\sf{=\frac{3\sqrt{3}}{2}-\frac{12\sqrt{3}}{8}}$

$\sf{=\frac{3\sqrt{3}}{2}-\frac{3\sqrt{3}}{2}}$

$\sf{=\boxed{0}}$

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