Are the given trigonometric identities correct?

louie3006
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Homework Statement


tanX+tan Y / 1-tanXtanY= cotX+cotY/cotXcotY-1


Homework Equations



tan= sin/cos
cot= cos/sin

The Attempt at a Solution

 
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Attempt at a solution?

Try substituting those equations into your problem. Where does that get you?
 

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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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