SOLUTION: Find the exact value of : sin60 degrees - cos60 degrees

Algebra ->  Trigonometry-basics -> SOLUTION: Find the exact value of : sin60 degrees - cos60 degrees      Log On


   

Question 149722: Find the exact value of : sin60 degrees - cos60 degrees
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Ref: unit circle
http://en.wikipedia.org/wiki/Image:Unit_circle_angles.svg
.
From the "unit circle" we get:
sin(60) = sqrt(3)/2
cos(60) = 1/2
.
sin(60) - cos(60)
= sqrt(3)/2 - 1/2
= [sqrt(3)-1]/2