1. ## Finding exact values

a) tan(arctan10)
b) sin^ -1 (sin(7(pi/3)))

How should I start ?
Any tips are greatly appreciated !
Thanks

2. Originally Posted by letzdiscuss
a) tan(arctan10)
b) sin^ -1 (sin(7(pi/3)))

How should I start ?
Any tips are greatly appreciated !
Thanks
Note that $tan$ and $arctan$ are inverse operations (like + and - are inverse)

$sin^{-1} = arcsin$ is the inverse of $sin$

ie: $arcsin(sin(x)) = x$

3. Thank you. But how do I show that arcsin(sin(x)) = x?

4. Originally Posted by letzdiscuss
I'm sorry but I still don't get it
Inverse function - Wikipedia, the free encyclopedia

For your problem you can just take the number as your answer since the operations cancel each other out

5. Originally Posted by e^(i*pi)
Inverse function - Wikipedia, the free encyclopedia

For your problem you can just take the number as your answer since the operations cancel each other out
Is there a way to show that they cancel out though?
How do I show the steps in order for full marks