An angle between 0 degrees and 360 degrees has a cosecant of -1.
a) is this enough info to determine a unique solution? if yes, explain why. if no, what other info is required?
b) determine the angle or angles
We are given an angle `0<=theta<=360^@` and `csctheta=-1` .
(a) Is there a unique solution? If `csctheta=-1` then `sintheta=-1` . On the interval `[0,360]` this occurs at `theta=270^@` .
This is the unique solution.
(b) The angle is `270^@`
It is ot enough to determine unique solution It is periodic function.
sin(x) has unique solution in interval `[-pi/2,pi/2]`
cosec(x) is not defined if x=0
cosec(x) has unique solution in `[-pi/2,0)U(0pi/2]`
other informatins are required characteristic of function