SOLUTION: Evaluate cos(sin^-1 2/3) leave your answer as a fraction. show all work

Algebra ->  Trigonometry-basics -> SOLUTION: Evaluate cos(sin^-1 2/3) leave your answer as a fraction. show all work      Log On


   



Question 600386: Evaluate cos(sin^-1 2/3) leave your answer as a fraction. show all work
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate cos(sin^-1 2/3) leave your answer as a fraction. show all work
**
cos(sin^-1 2/3)
This reads as follows:
cos of an angle whose sin=2/3=opposite side/hypotenuse
adjacent side=√(3^2-2^2)=√(9-4)=√5 (by pythagorean theorem)
cos(sin^-1 2/3)=adjacent side/hypotenuse=√5/3