Question

find the exact value: arctan(-1)

Answer 1

find the value of \( \theta \) then \( \sin \theta = - \cos \theta \)

Answer 2

Got it, thanks. One question though: wouldn't there be two answers for every problem of this type?

Answer 3

I guess:

\[\tan^{-1}(-x) \implies -\tan^{-1}(x)\]

Answer 4

For example: the values of this one would be 7pi/4 and 3pi/4, correct?

Answer 5

there would be many answers ... you have to restrict the domain. is there any restriction?

Answer 6

No restriction, so the answer would be (3pi+4npi)/4, right?

Answer 7

ok ok .. you can write it up then.

Answer 8

Thanks!