SOLUTION: Write cot(t) in terms of sec(t) if the terminal point determined by t is in the second quadrant. cot (t) = Thanks

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Question 920192: Write cot(t) in terms of sec(t) if the terminal point determined by t is in the second quadrant.
cot (t) =
Thanks
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Write cot(t) in terms of sec(t) if the terminal point determined by t is in the second quadrant.
cot (t) =
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cot = cos/sin
cos = 1/sec
sin = sqrt(1 - cos^2) = sqrt(1 - 1/sec^2) = sqrt(sec^2-1)/sec
cot = 1/sec/(sqrt(sec^2-1)/sec)
cot%28t%29+=+sqrt%28sec%5E2%28t%29-1%29%2F%28sec%5E2%28t%29+-+1%29
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cot is negative in Q2