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 1161172: 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. (the answer is 270°).
Found 2 solutions by MathLover1, ikleyn:
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 270°








so, csc%28270%29=-1

Answer by ikleyn(52908) About Me  (Show Source):
You can put this solution on YOUR website!
.

By posting it 4 times in a row, you just scared me . . .

And additional 5 times it was posted (and ANSWERED (!) ) during the preceding 5 days . . .


Are you Ok there ?