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    flameruckus's Avatar
    flameruckus Posts: 93, Reputation: 2
    Junior Member
     
    #1

    Apr 26, 2009, 12:17 PM
    Cosine and sine
    If you add Cosēθ + Sinēθ does it equal 1? How do you prove it?
    Perito's Avatar
    Perito Posts: 3,139, Reputation: 150
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    #2

    Apr 26, 2009, 12:56 PM

    Yes, it does equal one.

    There are a number of ways to do it. The easiest that I know of is to use a unit circle with center on the origin of a cartesian coordinate system. Draw a right triangle from the origin to any point on the unit circle. From the definition of sine and cosine, figure out the lengths of the sides. Use the Pythagorean theorem to prove that



    http://www.lmgtfy.com/?q=prove+that+...%5E2+%3D+1&l=1

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