What is the formula of sin^3x?

By BYJU'S Exam Prep

Updated on: September 25th, 2023

In trigonometry, sine is defined as the ratio of opposite sides by the hypotenuse.

The value of sin³x can be found using the trigonometric identity

sin 3x = 3sin x – 4sin³x

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By transposing the terms

4 sin³ x = 3sinx – sin 3x

Let us divide both sides of the equation by 4

sin³x = (3sinx – sin 3x)/4

Therefore, when asked What is the formula of sin³x? then the answer will be that the formula of sin³x is (3sinx – sin 3x)/4.

Summary:

What is the formula of sin³x?

The formula of sin³x is (3sinx – sin 3x)/4.

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