# What is the formula of Sin^{3}x?

We can find the value by using the trigonometric identity of sin^{3}x

## Answer: The formula of Sin^{3}x is (3 sinx - sin3x)/4

Let's proceed step by step

## Explanation:

As per trigonometric identity, we have

sin 3x = 3sin x - 4sin^{3} x

On transposing terms,

4 sin^{3} x = 3sinx - sin 3x

Divide both sides of the equation 4 sin^{3} x = 3sinx - sin 3x by 4,

sin^{3}x = (3sinx - sin 3x)/4

### Hence the formula for sin^{3} x is (3 sinx - sin 3x) /4.

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