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Math Help - How many solutions of the trig functions

  1. #1
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    How many solutions of the trig functions

    The simultaneous equations in x,y

    xcosθ - ysinθ = 2
    xsinθ + ycosθ = 1

    are solvable for how many values of θ in the range 0<= θ < 2pi


    I was told that it is for all values, using the idea of discriminants. But I haven't learnt this yet, so I am meant to use some other method. Any advice?

    Thanks
    Last edited by Aquafina; October 27th 2009 at 09:50 PM.
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  2. #2
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    Quote Originally Posted by Aquafina View Post
    The simultaneous equations in x,y

    cosθ x - sinθ y = 2
    sinθ x + cosθy = 1

    are solvable for how many values of θ in the range 0<= θ < 2pi


    I was told that it is for all values, using the idea of discriminants. But I haven't learnt this yet, so I am meant to use some other method. Any advice?

    Thanks
    Are x and y meant to be part of the angle? If not, I think it would be best to write this as:

    xcos(\theta)-ysin(\theta)=2

    xsin(\theta)+ycos(\theta)=1
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  3. #3
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    Ok I edited them. Any advice on it?
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