How do you calculate the sin(sin^-1 (1/3))sin(sin1(13))?

2 Answers
Nov 21, 2015

sin(sin^-1(1/3))sin(sin1(13)) == 1/313

Explanation:

You can just use B.E.D.M.A.S to evaluate this equation, by doing sin^-1(1/3)sin1(13), you get ~~19.4719.47.
Then take the sinsin of 19.4719.47 which ultimately gives you the same thing back. 1/313

Nov 21, 2015

1/313

Explanation:

1/x*x=11xx=1

x-x=0xx=0

sqrt(x^2)=xx2=x

10^(logx)=x10logx=x

All of these are examples of functions and identities that undo one another. Another example of similar functions are sinsin and sin^-1sin1.

sin(sin^-1(x))=xsin(sin1(x))=x

sin(sin^-1(1/3))=1/3sin(sin1(13))=13