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Math Help - Trigonometric function/Perimeter

  1. #1
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    Trigonometric function/Perimeter

    I cannot figure out these two questions.

    1. The length of one of the legs of a right triangle is 3 ft. Express the perimeter, p, of the triangle in terms of the length, L, of the other leg.
    I have gotten h=3+L, but what do I do from there?

    2. (secθ-tanθ)(secθ+tanθ)
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  2. #2
    Junior Member
    Joined
    May 2009
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    Quote Originally Posted by cam_ddrt View Post
    I cannot figure out these two questions.

    1. The length of one of the legs of a right triangle is 3 ft. Express the perimeter, p, of the triangle in terms of the length, L, of the other leg.
    I have gotten h=3+L, but what do I do from there?

    2. (secθ-tanθ)(secθ+tanθ)
    1. You know that the two legs have length 3 and L. Then you have enough information to find the length of the hypotenuse, since the triangle is a right triangle.

    2. Difference of squares: (\sec\theta-\tan\theta)(\sec\theta+\sec\theta)=\sec^2\theta-\tan^2\theta=\frac{1}{\cos^2\theta}-\frac{\sin^2\theta}{\cos^2\theta}. It should be easy to simplify from here.
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