SOLUTION: prove cosec4A + cot4A = 1/2 (cotA - tanA) thank you!

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Question 1142132: prove
cosec4A + cot4A = 1/2 (cotA - tanA)
thank you!
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
csc%5E%22%22%284A%29+%2B+cot%5E%22%22%284A%29%22%22=%22%22expr%281%5E%22%22%2F2%5E%22%22%29%28cot%5E%22%22%28A%29-tan%5E%22%22%28A%29%5E%22%22%29

Work with left side to get everything in terms of sines
and cosines of A: 

csc%5E%22%22%284A%29+%2B+cot%5E%22%22%284A%29

1%5E%22%22%2Fsin%5E%22%22%284A%29%2Bcos%5E%22%22%284A%29%2Fsin%5E%22%22%284A%29

%281%2Bcos%5E%22%22%284A%29%29%2Fsin%5E%22%22%284A%29

%281%2Bcos%5E2%282A%29-sin%5E2%282A%29%29%2F%282sin%5E%22%22%282A%29cos%5E%22%22%282A%29%29

%281-sin%5E2%282A%29%2Bcos%5E2%282A%29%29%2F%282sin%5E%22%22%282A%29cos%5E%22%22%282A%29%29



%281-sin%5E2%282A%29%2Bcos%5E2%282A%29%29%2F%282sin%5E%22%22%282A%29cos%5E%22%22%282A%29%29

%28cos%5E2%282A%29%2Bcos%5E2%282A%29%29%2F%282sin%5E%22%22%282A%29cos%5E%22%22%282A%29%29

%282cos%5E2%282A%29%29%2F%282sin%5E%22%22%282A%29cos%5E%22%22%282A%29%29



cos%5E%22%22%282A%29%2Fsin%5E%22%22%282A%29

cot%5E%22%22%282A%29

1%5E%22%22%2Ftan%5E%22%22%282A%29

1%5E%22%22%2F%282tan%5E%22%22%28A%29%2F%281-tan%5E2%28A%29%29%29

%281-tan%5E2%28A%29%29%2F%282tan%5E%22%22%28A%29%29

expr%281%5E%22%22%2F2%5E%22%22%29%28%281-tan%5E2%28A%29%29%2F%28tan%5E%22%22%28A%29%29%29







expr%281%5E%22%22%2F2%5E%22%22%29%28cot%5E%22%22%28A%29-tan%5E%22%22%28A%29%5E%22%22%29

Edwin