# What is the value of sin 120°?

Trigonometry deals with the measurement of angles and helps us study the relationship between the sides and angles of a right-angled triangle.

## Answer: The value of sin 120° is √3/2.

Let's look into the steps to find the value of sin 120°.

**Explanation:**

We have to find the value of sin120°.

We know that,

sin(180°- x) = sin x ---------------- (1)

Also, 180° – 60° = 120°

So, sin 120° can be written as sin(180°- 60°)

⇒ sin 120° = sin(180°- 60°) --------------- (2)

Therefore, sin 120° = sin 60° [From (1) and (2)]

From the trigonometric table, we have the value of sin 60° that is equal to √3/2.

Thus, sin120° = √3/2