How do you find exact value of sin(π3)?

1 Answer
Jul 24, 2016

sin(π3)=32

Explanation:

π3 Radians =60 Degrees

sin60=32

To prove this consider an equilateral trigangle ABC of side 2 units as diagram below.

enter image source here Ref: "Quora" - With thanks

The bisector of angle A meets side BC at D which is the midpoint of BC.

By Pythagoras:
AB2=AD2+DB2
22=AD2+12AD=41=3

Angle B = 60 Degrees
Therefore: sin(60)=ADAB=32