## Thomas' Calculus 13th Edition

Given $f$ and $g$ are odd functions, we have $f(-x)=-f(x)$ and $g(-x)=-g(x)$ a. $f(-x)g(-x)=f(x)g(x)$ would be even. b. $f^3(-x)=-f^3(x)$ would be odd. c. $f(sin(-x))=f(-sin(x))=-f(sin(x))$ would be odd. d. $g(sec(-x))=g(sec(x))$ would be even. e. $|g(-x)|=|-g(x)|=|g(x)|$ would be even.