SOLUTION: My question is "suppose sec(angle A)= radical 5. What is csc(angle A)?" thanks for your help

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Question 919801: My question is "suppose sec(angle A)= radical 5. What is csc(angle A)?"
thanks for your help
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sec%28A%29=sqrt%285%29
So,
1%2Fcos%28A%29=sqrt%285%29
cos%28A%29=1%2Fsqrt%285%29
cos%28A%29%5E2=1%2F5
But you know that,
cos%5E2%28A%29%2Bsin%5E2%28A%29=1
1%2F5%2Bsin%5E2%28A%29=1
sin%5E2%28A%29=4%2F5
sin%28A%29=0+%2B-+2%2Fsqrt%285%29
So then,
csc%28A%29=0+%2B-+sqrt%285%29%2F2