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Thread: Trigonometry

  1. #1 Trigonometry 
    Forum Masters Degree thyristor's Avatar
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    Hi!
    I'm stuck on this system of equations and would like your help.
    It initially looks like this:



    Then my idea was to divide one of the equations by the other, which gives:



    Then I know you could write this as:



    However, I am unable to solve this equation.
    Got any suggestions?


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  3. #2 Re: Trigonometry 
    . DrRocket's Avatar
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    Quote Originally Posted by thyristor
    Hi!
    I'm stuck on this system of equations and would like your help.
    It initially looks like this:



    Then my idea was to divide one of the equations by the other, which gives:



    Then I know you could write this as:



    However, I am unable to solve this equation.
    Got any suggestions?
    Try solving the set of 2 equations for sin(v) and cos(v) in terms of r. It is not too hard. From that I find that v=


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  4. #3  
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    Another approach would be: let x=rcos(v) and y=rsin(v). You have two linear equations for x and y. Once you find x and y, then v=arctan(y/x) and r^2=x^2+y^2. You need to check which particular values of r and v satisfy the original equation.
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  5. #4  
    Forum Masters Degree thyristor's Avatar
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    OK, thanks for the help!
    I have got the same answer as Dr.Rocket.
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