What is the exact value of sin 60°? Enter your answer, as a simplified fraction

Solution:

Given: sin 60°

We know that sine of an angle is defined as the sine of an angle in a right-angled triangle is:

The length of the side opposite the angle is divided by the length of the hypotenuse.

In a 30-60-90 triangle, the sides are in the ratio 1: √3: 2

Thus adjacent: opposite: hypotenuse = 1: √3: 2

sinθ = opposite side/hypotenuse

sinθ = sin 60° = √3 /2

The simplified fractional value of sin60° is √3 /2

What is the exact value of sin 60° ? Enter your answer, as a simplified fraction

Summary:

The exact value of sin60° as a simplified fraction is √3 /2.