SOLUTION: find the exact value using a double angle identity sin(480)

Algebra ->  Trigonometry-basics -> SOLUTION: find the exact value using a double angle identity sin(480)      Log On


   

Question 767419: find the exact value using a double angle identity
sin(480)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find the exact value using a double angle identity
sin(480)
***
sin(2x)=2sinxcosx
sin(480)=sin(2*240)=2sin240cos240=2*√3/2*1/2=2√3/4=√3/2
calculator check:
sin(480º)=0.866025≈√3/2