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    antoniarose's Avatar
    antoniarose Posts: 2, Reputation: 1
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    #1

    Sep 5, 2011, 01:15 PM
    How to verify this trig identity: secB * cscB - 2(cosB * cscB) + cotB = tanB
    I have tried so many times to figure out how to verify this identity! I need all the help I can get! Please help! I have tried so much! If you can tell me the steps to verify it, that would be SO HELPFUL!

    SecB * cscB - 2(cosB * cscB) + cotB = tanB
    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
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    #2

    Sep 5, 2011, 08:19 PM
    Start by rewriting everything in terms of sines and cosines:





    Now let's get a common denominator for the left side:









    Now remember that , and substitute that into the numerator on the left side:



    Finally, just cancel out the extra sine terms in the numerator and denominator:



    There you have it! Did that all make sense?

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