Trig Func Plot Error and Trig Solving Error

[pinkman]

Bosebcc, I really like your problems.
How did you find these expressions that push our calculators to their limits?!

I think Wolfram alpha is a bit straightforward, as CAS and the Prime let (force) you chose the parameters and conditions of the question.
Try to analyze the domain of your f(x)=abs(sin(x)/...) function (with CAS or Wolfram alpha), and you’ll see it is not as trivial as Wolfram alpha seems to affirm when plotting the function.
Also, analyze the domain of x^x and you’ll confirm that Wolfram alpha gave you a solution without letting you chose your definition of negative power of negative numbers.

Once again, for me, the Advanced Graphing app doesn’t appear to be the best solution to analyze a function, even to double check as you said.
But I would like to hear people stronger than me in mathematics, or, as you asked, knowing the way it draws, before concluding the shown graphic is wrong.

Like Tim I also don’t understand why you say x=pi/2 is not an intersection of your previous f(x) with g(x)=3, because CAS found it : [1/2*π,-asin(1/4),asin(1/4)-π]

Regards.
Thibault