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Math Help - Values of Trig Functions

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    Values of Trig Functions

    Theta=SinInverse(8/17)

    Find the values of the 6 Trigonometric Functions.....

    Cos, Tan, Cot, Cos, Sec and Sin
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  2. #2
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    Quote Originally Posted by Luckyjoshua
    Theta=SinInverse(8/17)

    Find the values of the 6 Trigonometric Functions.....

    Cos, Tan, Cot, Cos, Sec and Sin
    Here is an easy method,
    Since,
    \theta=\sin^{-1}(8/17),
    means that,
    \sin \theta=8/17
    Thus, the sine of an angle in the triangle is 8/17 whenever its opposite side is 8 and hypotenuse 17, that means the remaing side is \sqrt{17^2-8^2}=\sqrt{289-64}=\sqrt{225}=15
    Code:
           /|
          / |
       17  8
        /   |  
       /    |
      /     |
    *-----*
       15
    Now use the definitions of the six trigonomteric functions and you get,
    \left\{ \begin{array}{c}\sin \theta=8/17\\ \cos \theta=15/17\\ \tan \theta=8/15\\ \csc \theta = 17/8\\ \sec \theta = 17/5\\ \cot \theta=15/8
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