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Math Help - Trig - Prove tan by using similar triangles

  1. #1
    mx-
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    Question Trig - Prove tan by using similar triangles

    Hi, the problem i have here isn't with my trig skills but with my ability to use similar triangles to prove that KZ = tan.



    ***Could someone please tell me which triangles to use.***

    I know from wikipedia, that this is true.

    Thank you
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by mx- View Post
    Hi, the problem i have here isn't with my trig skills but with my ability to use similar triangles to prove that KZ = tan.



    ***Could someone please tell me which triangles to use.***

    I know from wikipedia, that this is true.

    Thank you
    Prove that KZ is equal to the tangent of what angle??

    -Dan
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  3. #3
    mx-
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    The above diagram is of a unit circle. Where KZ denotes the length of the segment from the point K to the point Z.

    I must prove in general that KZ is the tangent using similar triangles with the Information provided in the first diagram.

    It might also help to know that LZ = OJ = cosθ and JZ = OL = sin θ.

    Thanks.
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