Euclid 2020/Problem 6

(a) Suppose that the function satisfies for all real numbers and that is the inverse function of . Suppose that the function satisfies = 2x^2 + 16x + 26xf(\pi)(x; y)0$$ (Error compiling LaTeX. Unknown error_msg)\le x$$ (Error compiling LaTeX. Unknown error_msg)<$$ (Error compiling LaTeX. Unknown error_msg)1800$ $ (Error compiling LaTeX. Unknown error_msg)\le y$$ (Error compiling LaTeX. Unknown error_msg)<$$ (Error compiling LaTeX. Unknown error_msg)180$ that satisfy the following system of equations:$ (Error compiling LaTeX. Unknown error_msg)log_2(sin x*cos y) = 1/2$