SOLUTION: How do I show that (cscO + cotO)(cscO - cotO) = 1 Note: All of the O have a horizontal line going through the middle. They are NOT zeros. PLEASE HELP ME! And If you could can pleas

Question 728482: How do I show that (cscO + cotO)(cscO - cotO) = 1 Note: All of the O have a horizontal line going through the middle. They are NOT zeros. PLEASE HELP ME! And If you could can please go step by step because that is the only way I will learn. Thank you :)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(cscO + cotO)(cscO - cotO) = 1
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You have the form: (a+b)(a-b) = a^2-b^2
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(csc^2 - cot^2) = 1
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((1/sin^2) - (cos^2/sin^2) = 1
----
(1-cos^2)/sin^2 = 1
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sin^2/sin^2 = 1
----
1 = 1
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Cheers,
Stan H.

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