Solving for sin(xi): A Mathematical Exploration

epkid08
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If:
sin(i)=i \frac{e^2 - 1}{2e}

what does sin(xi) equal?
 
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Are you allowed to use Euler's Identity;

sin(\theta)=\frac{e^{i\theta}-e^{-i\theta}}{2i}

?
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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