SOLUTION: Find the value of sin(cos^-1(3/5)). Leave your answer in terms of pi whenever appropriate. Make sure to show work.

Algebra ->  Trigonometry-basics -> SOLUTION: Find the value of sin(cos^-1(3/5)). Leave your answer in terms of pi whenever appropriate. Make sure to show work.      Log On


   

Question 1138139: Find the value of sin(cos^-1(3/5)). Leave your answer in terms of pi whenever appropriate.
Make sure to show work.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
You want sine of some alpha angle.
Draw right triangle
legs y and 3; hypotenuse 5;
alpha is opposite of y.

y%5E2%2B3%5E2=5%5E2 for cos%28alpha%29=3%2F5;
y=sqrt%285%5E2-3%5E2%29
sin%28alpha%29=sqrt%285%5E2-3%5E2%29%2F5

highlight%284%2F5%29