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Thread: Easy Question

  1. #1
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    Wink Easy Question

    sin θ = 8/17 and cos θ = 15/17, find tan θ.
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by Joker37 View Post
    sin θ = 8/17 and cos θ = 15/17, find tan θ.
    Hi Joker37,

    Remember:

    $\displaystyle \sin \theta=\frac{y}{r}$

    $\displaystyle \cos \theta=\frac{x}{r}$

    $\displaystyle \tan \theta=\frac{y}{x}$


    $\displaystyle r^2=x^2+y^2$

    $\displaystyle 15^2+8^2=17^2$

    $\displaystyle x = 15$, $\displaystyle y= 8$, $\displaystyle r = 17$

    Therefore,

    $\displaystyle \tan \theta = \frac{8}{15}$
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