March 28, 2017

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As x increases from p/4 to 3p/2, the value of sin(x) :

A.increases throughout the interval
B.decreases at first, then increases
C.increases at first, then decreases
D.decreases throughout the interval
E.none of the above

please explain why the answer is as it is, I don't understand this at all, please help :)

  • Pre Calculus - ,

    This only makes sense if your "p" is pi, and x is an angle expressed in radians.

    The sin of pi/4 is 0.7071
    Then sin x rises to +1 at x = pi/2, and falls to -1 at x = 3 pi/2

    The correct answer is therefore C

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