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Math Help - [SOLVED] Trig Identity

  1. #1
    slesk
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    [SOLVED] Trig Identity

    I can't figure these two questions out, please enlighten me

    1. 1+ cot^2x = csc^x


    2. (1+tan^2x)(1-cos^2x) = tan^2x
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  2. #2
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    Quote Originally Posted by slesk View Post
    I can't figure these two questions out, please enlighten me

    1. 1+ cot^2x = csc^x
    Write them out as sines and cosines.

    1+cos^2 x / sin^2 x = 1/sin^2 x

    Add fractions,

    (sin^2 x + cos^2 x)/sin^2 x = 1/sin^2 x

    Which is true because,

    sin^2 x + cos^2 x = 1

    By Pythagorean Identity.
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by slesk View Post
    2. (1+tan^2x)(1-cos^2x) = tan^2x
    Here
    Attached Thumbnails Attached Thumbnails [SOLVED] Trig Identity-trigproof.gif  
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