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Math Help - Trig/cal homework help

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    Senior Member ecMathGeek's Avatar
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    These are all basic trig functions so as long as you know the basics of trig functions, you should be able to solve these.

    I'll help set you up so you can solve them.

    First, know what the values for sin(x) and cos(x) are for some common angles. For example, you should know the following:
    sin(pi/2) = 1
    sin(0) = 0
    cos(pi/2) = 0
    cos(0) = 1

    You should also know that all the trig functions can be converted into sins and cosines. In other words:
    tan(x) = sin(x)/cos(x)
    cot(x) = cos(x)/sin(x)
    sec(x) = 1/sin(x)
    csc(x) = 1/cos(x)

    You should be somewhat familiar with the graphs of most (if not all) of the trig functions. (I can't graph them on this computer, so I'll leave it to you to find out what their graphs look like). You should also be able to tell what the period and range of these graphs are by looking at them. For example:
    The range of tan(x) is (-infinity,infinity) <-- this answer one of those question, btw
    The normal period of tan(x) is -pi/2 to pi/2.

    You should know what happens to the period of a trig function if we multiply the angle by some number. Some examples.
    The period of cos(x) is 2pi
    The period of cos(2x) is 2pi/2 = pi
    The period of cos(bx) is 2pi/b ... notice that the normal period of cosine (which is 2pi) is divided by the number being multiplied to the angle.

    If you are still can't do these problems, ask for help on the particular problems you need help on.
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