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Math Help - Theta

  1. #1
    Junior Member Dragon's Avatar
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    Theta

    Point P is on the terminal side of angle theta. Evaluate the six trigonometric function of theta.

    A.(12,7)
    B.(4,9)
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  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
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    Quote Originally Posted by Dragon View Post
    Point P is on the terminal side of angle theta. Evaluate the six trigonometric function of theta.

    A.(12,7)
    B.(4,9)
    This creates a right triangle with one vertex at the origin..

    using the pythagorean theorem

    12^2+7^2=c^2

    144+49=c^2

    so...

    \sqrt{203}=c

    using the defintion of the trig functions...

    sin(\theta)=\frac{opposite}{hypotenuse}=\frac{7}{\  sqrt{203}}

    all of the others can be solved in a similar fashion
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  3. #3
    Junior Member Dragon's Avatar
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    does the other one also make another right triangle ?
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  4. #4
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
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    Yes try drawing a graph. Both will be right triangles.

    You can draw a reference triangle for any point in the xy plane...

    always draw the perpendicular to the x-axis. The hypotenuse will always be the line segment from the origin to the point.
    Last edited by TheEmptySet; February 24th 2008 at 09:19 AM. Reason: I wanted to be clearer
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