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    Krista_Renae's Avatar
    Krista_Renae Posts: 1, Reputation: 1
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    #1

    Apr 3, 2014, 05:22 PM
    Prove 8csc^2x-3cot^2=3+5csc^2
    I have to prove how one side can equal the other but i do not know where to begin with this problem.

    I know CSC= 1/sin and COT= cos/sin
    I know all of the pythagorean identities as well but i still do not know where to begin with this problem.
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Apr 4, 2014, 04:49 AM
    As usual, first convert the csc and cot functions to their sin and cos equivalents. The trick is then to look for opportunities to use those Pythagorian identities. I'll get you started: note the left hand side is:



    which is equivalent to:



    Do you see the opportunity to apply ?
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