Question

What is the exact value of `sin 60 - cos 60`?

Answer 1

`sin(60°)-cos(60°)=(sqrt3-1)/2`

Explanation:

The exact values of `cos(60°)` and `sin(60°)` are:
`cos(60°)=cos(pi/3)=1/2`
`sin(60°)=sin(pi/3)=sqrt3/2`

`rarr sin(60°)-cos(60°)=sqrt3/2-1/2=(sqrt3-1)/2`