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    Trigonometric function help

    f(x)= sin 3x - (1/2)sin x, find the period. i know the period for sin 3x is 2pi/3 and the period of sin x is 2pi but how do you subtract these? I totally forget how to do this! I mean i could find the answer with any graphing program but i want to know how to do this type of problem.
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    Is physics right for me?

    I've always loved physics, and am constantly reading about it. Usually I just read those laymen's physics books like "a brief history of time", "the elegant universe", or "hyperspace." My math backround is only up to trig. (last class i took) and i never took high school physics. Well im going...
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