SOLUTION: Use the Pythagorean identities to write the expression as an integer. csc^2 5α − cot^2 5α

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Question 1156554: Use the Pythagorean identities to write the expression as an integer.
csc^2 5α − cot^2 5α

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

csc%5E2+%285alpha%29-+cot%5E2+%285alpha%29......use identity cot%5E2+%285alpha%29=csc%5E2+%285alpha%29-1
=csc%5E2+%285alpha%29-+%28csc%5E2+%285alpha%29-1%29
=csc%5E2+%285alpha%29-+csc%5E2+%285alpha%29%2B1
=cross%28csc%5E2+%285alpha%29%29-+cross%28csc%5E2+%285alpha%29%29%2B1
=1