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    katelynnshayn14's Avatar
    katelynnshayn14 Posts: 1, Reputation: 1
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    #1

    Nov 1, 2012, 02:33 PM
    Trigonometry Proofs
    Can you please solve these 3 trig proofs for me.

    sec=sin(cot+tan)

    (sec)(cot)-cot=tan

    sin^2-sin^4=cos^2-cos^4
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Nov 1, 2012, 06:57 PM
    In each case start by changing the cotangent secant, and tangent functions to their sine and cosine equivalents. Then it's simply a matter of manipulating the terms, and applying the well-known identity sin^2x + cos^2x = 1. One correction though - the second identity is written incorrectly, it should be: (sec^2x) (cot x) - cot x = tan x.
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