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Math Help - Angle Theta

  1. #1
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    Angle Theta

    As angle θ increases from π radians to 2pi radians, the cosine of θ
    (1) increases throughout the interval
    (2) decreases throughout the interval
    (3) increases, then decreases
    (4) decreases, then increases


    Please, explain your answer not just select one form the choices.
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  2. #2
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    Look at this cosine graph:


    What happens when theta changes from \pi to 2\pi?
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  3. #3
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    it gets...

    Quote Originally Posted by Air View Post
    Look at this cosine graph:


    What happens when theta changes from \pi to 2\pi?
    Theta increases then increases???
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  4. #4
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    Here is a graph of y = \cos{x} for the interval  [-2\pi, 2\pi]. http://upload.wikimedia.org/wikipedi...px-Cos.svg.png

    Between \pi and 2\pi it can be seen that y = cos{x} is always increasing (except at the exact points of \pi and 2\pi, which are stationary points)
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  5. #5
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    Quote Originally Posted by magentarita View Post
    Theta increases then increases???
    Yes, that is correct. The only option which matches that is option (1).
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  6. #6
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    Thanks

    Thank you both for your great help.
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