SOLUTION: given: sin A = p/q Find cos A + sin A in terms of p and q

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Question 1093564: given: sin A = p/q
Find cos A + sin A in terms of p and q
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You know that,
sin%5E2%28A%29%2Bcos%5E2%28A%29=1
So,
%28p%2Fq%29%5E2%2Bcos%5E2%28A%29=1
cos%5E2%28A%29=1-%28p%2Fq%29%5E2
cos%28A%29=0+%2B-+sqrt%281-%28p%2Fq%29%5E2%29
So,
sin%28A%29%2Bcos%28A%29=p%2Fq+%2B-+sqrt%281-%28p%2Fq%29%5E2%29