Question

what is arcsin(-pi)??

Answer 1

if y = sin(x), then arcsin(y) = x

recall that the range of y = sin(x) is [-1,1]
The smallest output is y = -1

so it's impossible for the output to be y = -pi which means arcsin(-pi) is impossible

Answer 2

if you're dealing with complex numbers, it may be a different story but I don't know how to deal with that in this case

Answer 3

if it said sin(-pi). would it be 0

Answer 4

correct since `sin(k*pi) = 0` where k is any integer

Answer 5

on some problems the input would be the answer itself. Can u give me an example where this would be the case?

Answer 6

something like `sin(0) = 0` is one example

so is `tan(0) = 0` because of the fact that sine is 0

Answer 7

what about one where there is an inverse

Answer 8

you can say `arcsin(0) = 0` and `arctan(0) = 0`. I can't think of any other examples

Answer 9

ok thanks

Answer 10

no problem