Question

Similar to my last question, csc-1[csc7pi/6] ..... would this just be 7pi/6? please explain.

Answer 1

ok; this is slightly different because of the order in which we have to play with the csc and csc_1 parts..

Answer 2

csc^-1 is only going to give you angles that are in the range of -pi/2 and pi/2. They have to do that in order to make it a useable function

Answer 3

7pi/6 is greater then pi by pi/6, like this:

6pi pi 7pi
--- + --- = ----
6 6 6

Answer 4

its csc^-1 will spit back -pi/6 i believe

Answer 5

so a reference angle?

Answer 6

yep; the reference angle that is a match to the original...

Answer 7

my memory might have a hiccup there tho; let me use the calculator to dbl chk meself

Answer 8

http://www.wolframalpha.com/input/?i=csc^-1%28csc%287pi%2F6%29%29

Answer 9

im right lol

Answer 10

so is that original equation's answer -pi/6?

Answer 11

yes, -pi/6 is the answer to the original question

Answer 12

okay so how would you have an equation where it's not possible?

Answer 13

hmm.... well, if you try to take the answer to a function that has an invalid input like tan(pi/2) that would result in a disaster