Firefox Is the First Browser To Pass the MathML Acid2 Test
An anonymous reader writes "Frédéric Wang, an engineer at the MathJax project, reports that the latest nightly build of Firefox now passes the MathML Acid2 test. Screenshots in his post show a comparison with the latest nightly Chrome Canary, and it's not pretty. He writes 'Google developers forked Webkit and decided to remove from Blink all the code (including MathML) on which they don't plan to work in the short term.'"
You just showed that you don't know enough mathematics.
The input to the sine function is not an angle, it is a real or complex number. If real, this number often (but not always!) describes some angle. If complex, it obviously won't describe an angle.
The sine function is defined as
sin x = (exp(i x) - exp(-i x)) / (2i)
where i is the imaginary number, and exp(x) is defined by the series
exp x = 1 + x + x^2/2 + ... + x^n/n! + ...
Note that, since the convergence radius of the exponential series is infinite, and the sine is just a linear combination of exponentials, the sine is defined on all complex numbers. Since it is complex-valued, sin sin x is indeed well defined for all complex numbers x.
Moreover, if you restrict the sine to real numbers (that is, only accept real numbers), you still have a well defined sin sin x, because the real sine function is also real-valued (more exactly, its values are restricted to the interval [-1,1]).
Also, the output is in general not a rational number (the only thing you could have meant with "ratio" that makes sense in this context).
The Tao of math: The numbers you can count are not the real numbers.