SOLUTION: If cot(theta) is undefined what does theta equal?

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Question 921536: If cot(theta) is undefined what does theta equal?
Found 2 solutions by jim_thompson5910, lwsshak3:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
cot%28theta%29+=+cos%28theta%29%2Fsin%28theta%29


So cot%28theta%29 is undefined when sin%28theta%29+=+0 due to the division by zero error.


sin%28theta%29+=+0 is true when theta+=+0 or theta+=+pi. Use a unit circle to see this.


So if cot%28theta%29 is undefined, then theta+=+0 or theta+=+pi


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Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
If cot(theta) is undefined what does theta equal?
cotx=cosx/sinx
cotx is undefined when sinx=0
sinx=0 at x=0, and x=π
cosx=1 and -1 at x=0, and x=π
so,at x=0, and x=π
cotx=cosx/sinx=1/0 and -1/0 which makes the function undefined