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Math Help - r/ship between coefficient of x in two different functions, newbie to maths

  1. #1
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    r/ship between coefficient of x in two different functions, newbie to maths

    Hi Folks,

    when i graph y=2x i get a straight line through 0,0 with gradient of 2
    when i then graph y=sin(2x) i see a sin wave to which my first f(x) is tangent.

    what is the precise mathematical relationship betw these two coefficients that allows me to predict the tangent to a given sin wave?

    thx,
    godfreysown (prompted by his so called unmathematical girlfriend whom i have been unable to answer to her satisifaction
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  2. #2
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    Re: r/ship between coefficient of x in two different functions, newbie to maths

    In y=2x, the relationship is that the y value is twice that of any x value.

    In y=sin(2x), the y value is the sin of twice the x value.

    There is no obvious relationship between the functions. Just plot them both on the same axes, you will see this.

    To predict the tangent of a sin wave, i.e where the gradient equals 2, use calculus.
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