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    teddyw123's Avatar
    teddyw123 Posts: 3, Reputation: 1
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    #1

    Jul 17, 2012, 12:40 PM
    The Pythagorean Theorem
    The Pythagorean Theorem gives the relationship between the sides of a right triangle. The following identities show the relationships between the trigonometric functions of a particular angle.
    sin^2 θ + cos^2 θ = 1
    tan^2 θ + 1 = sec^2 θ
    1 + cot^2 θ = csc^2 θ

    Why then are these referred to as the Pythagorean Identities?



    Is the answer to this question:
    because they are showing and proving the Pythadorean theorum through trigonometry? I'm not sure how else to answer this...
    ali18ninja's Avatar
    ali18ninja Posts: 159, Reputation: 16
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    #2

    Jul 18, 2012, 02:56 AM
    They show the basic relations between the sine and cosine functions, from which all others may be derived.
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #3

    Jul 18, 2012, 07:42 AM
    Just to add an example: if the two legs of a right angle triangle are A and B and the hypotenuse is C, then Pythagorus says that . Now consider as an example the second equation you wrote: :


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