SOLUTION: Find the values of x,x�[0,360],for which the identity is undefined. sin^3(x)-cos^3(x)/sin(x)-cos(x)=1+sin(x).cos(x)

Question 889775: Find the values of x,x�[0,360],for which the identity is undefined.
sin^3(x)-cos^3(x)/sin(x)-cos(x)=1+sin(x).cos(x)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
it appears that the solution will be undefined when sin(x) - cos(x) = 0.
that occurs when sin(x) = cos(x)
that will happen in the first quadrant and the third quadrant.
cosx and sinx are both positive in quadrant 1
cosx and sinx are both negative in quadrant 3
sinx is equal to cosx when the angle in quadrant 1 is 45 degrees.
sinx is equal to cosx when the angle in quadrant 3 is 225 degrees.
those should be your solutions.

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