Sin 2x Formula in Terms of Sin

sin 2x can also be given in terms of sin function. Let’s take a look at how Sin 2x is given in terms of sin x

sin 2x = 2 sin x cos x . . . (1)

we know that cos x = √(1 – sin²x) using this in eq (1)

sin 2x = (2 sin x )× √(1 – sin²x)

This is the required formula for Sin 2x in terms of Sin x.

Sin 2x Formula

Sin 2x Formula is among the very few important formulas of trigonometry used to solve various problems in mathematics. It is among the various double-angle formulas used in trigonometry. This formula is used to find the sine of the angle with a double value. Sin is among the primary trigonometric ratios that are given by taking the ratio perpendicular to that of the hypotenuse in a right-angled triangle. The range of sin2x is [-1, 1].

Sine ratio is calculated by computing the ratio of the length of the opposing side of an angle divided by the length of the hypotenuse. It is denoted by the abbreviation sin. The image added below shows a right-angle triangle ABC

If θ is the angle formed between the base and hypotenuse of a right-angled triangle then,

sin θ = Perpendicular/Hypotenuse

In this article we will learn about, Sin 2x Trig Identity, Sin 2x Derivation, Sin 2x Examples and others in detail.

Table of Content