SOLUTION: An angle between 0° and 360° has a cosecant of 1. a) Is this enough information to determine a unique solution? If yes, explain why. If no, what other information is required?

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Question 1161055: An angle between 0° and 360° has a cosecant of 1.
a) Is this enough information to determine a unique solution? If yes, explain why. If no, what other information is required?
b) Determine the angle or angles.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

An angle between 0° and 360° has a cosecant of 1.
a) Is this enough information to determine a unique solution? If yes, explain why. If no, what other information is required?
yes, because cosecant is the reciprocal of sin, so if
csc%28+x%29=1, sin+%28x%29=1%2F1=1 and we can use the unit circle to determine the angle or angles

b) Determine the angle or angles.
use the unit circle and see where sin+%28x%29=1
you will see it's only at 90°


so, csc%2890%29=1