SOLUTION: if sinA-cosA=1/4,evaluate secA-cosecA

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Question 1045201: if sinA-cosA=1/4,evaluate secA-cosecA
Found 2 solutions by advanced_Learner, robertb:
Answer by advanced_Learner(501) About Me  (Show Source):
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
sinA+-+cosA+=+1%2F4 ===> sin%5E2%28A%29+-+2cosA%2AsinA+%2B+cos%5E2%28A%29+=+1%2F16
===> -+2cosA%2AsinA++=+1%2F16+-+1+=+-15%2F16 (why?)
===> cosA%2AsinA++=++15%2F32
Now .