How do you calculate the sin(sin^-1 (1/3))?

2 Answers
Nov 21, 2015

sin(sin^-1(1/3)) = 1/3

Explanation:

You can just use B.E.D.M.A.S to evaluate this equation, by doing sin^-1(1/3), you get ~~19.47.
Then take the sin of 19.47 which ultimately gives you the same thing back. 1/3

Nov 21, 2015

1/3

Explanation:

1/x*x=1

x-x=0

sqrt(x^2)=x

10^(logx)=x

All of these are examples of functions and identities that undo one another. Another example of similar functions are sin and sin^-1.

sin(sin^-1(x))=x

sin(sin^-1(1/3))=1/3