SOLUTION: (CosecA+sinA)(cosecA-sinA)=cot^2+cos^2

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Question 947391: (CosecA+sinA)(cosecA-sinA)=cot^2+cos^2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%28csc%28A%29%2Bsin%28A%29%29%28csc%28A%29-sin%28A%29%29=cot%5E2%28A%29%2Bcos%5E2%28A%29
csc%5E2%28A%29-sin%5E2%28A%29=cot%5E2%28A%29%2Bcos%5E2%28A%29 .............since sin%5E2%28A%29=1-cos%5E2%28A%29, we have
csc%5E2%28A%29-%281-cos%5E2%28A%29%29=cot%5E2%28A%29%2Bcos%5E2%28A%29+
csc%5E2%28A%29-1%2Bcos%5E2%28A%29=cot%5E2%28A%29%2Bcos%5E2%28A%29 .........since csc%5E2%28A%29-1=cot%5E2%28A%29, we have
cot%5E2%28A%29%2Bcos%5E2%28A%29=cot%5E2%28A%29%2Bcos%5E2%28A%29