SOLUTION: what is the solution for 2sine squared theta minus 1 over sine theta times cosine theta equals tangent theta minus cotangent theta

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Question 1056518: what is the solution for
2sine squared theta minus 1 over sine theta times cosine theta equals tangent theta minus cotangent theta

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!




Multiply through by 













Use the zero factor property:

;  

;   

;    
                         
, where n is any integer.

I think the second equation has no solution:



Multiply both sides by 2



That is the expression for 



That can have no solution because the absolute
values of the sine is always 1 or less.

So the only solution is 

Edwin


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