# 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...

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

thank you!

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Expert Answers

Student Comments

aruv | Student

First answer.

It is ot enough to determine unique solution It is periodic function.

`cosec(x)=1/sin(x)`

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

`cosec(x)=-1`

`1/sin(x)=-1`

`sin(x)=-1`

`x=npi+(-1)^n(3pi/2)`

`n=0`

`x=(3pi)/2`