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Math Help - Sine function

  1. #1
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    Question Sine function

    Find the range of the function f(t) = 2sinθ.

    How would I do this problem?
    Thanks for your help!
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  2. #2
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    Quote Originally Posted by live_laugh_luv27 View Post
    Find the range of the function f(t) = 2sinθ.

    How would I do this problem?
    Thanks for your help!
     f(t) means a function of t, but on the right hand side you have a function of  \theta .
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  3. #3
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    Quote Originally Posted by Mush View Post
     f(t) means a function of t, but on the right hand side you have a function of  \theta .
    That's what the problem states...
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  4. #4
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    Quote Originally Posted by live_laugh_luv27 View Post
    That's what the problem states...
    That doesn't make sense to me.

    Are you sure it's not:

     f(t) = 2\sin(t)

    or


     f(\theta) = 2\sin(\theta)

    ??

    In any case, the range of a function, is the range of values of  f(t) or  f(\theta) that emerge as  t or  \theta vary across their domain.

    Your function is a sine wave, hence  t or  \theta vary from  -\infty and  \infty .  f(t) or  f(\theta) , a sine wave ranges between positive and negative its amplitude. Do you know what the amplitude of your sinewave is? Let the amplitude be  a .

    Hence the range is

     -a \leq f(t) \leq a

    or

     -a \leq f(\theta) \leq a

    But what is a? That's the bit you have to do!

    Depending on which was meant. Unless your equation is actually correct and there's an extra element to this question that I don't understand.
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