Posted by **Anonymous** on Thursday, April 16, 2009 at 9:02pm.

Which of the following are inverse functions?

1. Arcsin x and sin x

2. cos^-1 x and cos x

3. csc x and sin x

4. e^x and ln x

5. x^2 and +/- sqrt x

6. x^3 and cubic root of x

7. cot x and tan x

8. sin x and cos x

9. log x/3 and 3^x

I believe the answers are 2, 4, 6, and 9, but how come not the rest, especially csc/sin and cot/tan?

Thank you very much!

- math (repost) -
**Reiny**, Thursday, April 16, 2009 at 9:42pm
pick any x

perform the first operation

perform the second operation on that answer.

did I get back the original x ?

cscx and sinx, cotx and tanx are reciprocal functions, not inverses

my choices of inverse are:

1,2,4,6

(how did you figure #9 represents an inverse ???)

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