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Math Help - Trigonometric Identites

  1. #1
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    Trigonometric Identites

    I need some help on 15 identites problems to help me study for my math final.

    they range from problems like

    sec^2x csc^2x = sec^2x + csc^2x


    to


    tan(pi/5) - tan(pi/30) = (-1/root 3)
    1+tan(pi/5) tan(pi/30)


    Anyone think they would be able to help me?
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  2. #2
    MHF Contributor kalagota's Avatar
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    when is your finals? and how do you want us to help you?
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  3. #3
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    my final is on thursday. and anything anyone could really do would be great. whether it be do the problems out, or help me figure out how to start it.
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  4. #4
    MHF Contributor kalagota's Avatar
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    ahh, so you want us to solve the problems you gave above..

    so, i think, the first one is easy.. note that \sec^2 x = tan^2x + 1 and \tan^2 x = \frac{\sin^2x}{\cos^2} =\frac{\sec^2x}{\csc^2x}, so ithink, you can do it..
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  5. #5
    MHF Contributor kalagota's Avatar
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    for the other one, take note of sum/difference in tangents.

    \tan (A \pm B) = \frac{\tan A \pm \tan b}{1 \mp \tan A \tan B}

    so can you recognize that A = \frac{\pi}{5} and B = \frac{\pi}{30}?
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  6. #6
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    They are blurry and somewhat hard to read, but if anyone wants to take a crack at some of them they are here:

    http://img407.imageshack.us/img407/5696/math1lh2.jpg

    http://img509.imageshack.us/img509/9642/math2fw6.jpg

    http://img70.imageshack.us/img70/7996/math3hn7.jpg

    http://img69.imageshack.us/img69/7543/dsc00180on3.jpg


    15 problems. If anyone can't read something just let me know.
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