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

Algebra.Com
Question 600386: Evaluate cos(sin^-1 2/3) leave your answer as a fraction. show all work
Answer by lwsshak3(11628)   (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

RELATED QUESTIONS

Hi, Thanks to whoever can solve this Evaluate the given expression show all work... (answered by anand429)
Evaluate cos(arcsin (12/13) + arctan (3/4)) . (No calculator answers, please-show all of... (answered by stanbon)
Find the value of sin(cos^-1(3/5)). Leave your answer in terms of pi whenever... (answered by josgarithmetic)
(toughness- 6.5/10) Question: Suppose " 0 < X < pi/2 " and " sin X = 5/11 ". Evaluate... (answered by stanbon)
perform the indicated operation. write your final answer exactly as a fraction in lowest... (answered by Alan3354)
perform the indicated operation. write your final answer exactly as a fraction in lowest... (answered by TutorDelphia)
Express 0.01 as a fraction. plesae show all your work (answered by cincinnatus)
Express 0.01 as a fraction. Show all your... (answered by stanbon)
Find sin (2x), cos(2x), and tan(2x) from the given information. Write your answer as a... (answered by Alan3354)