Trigonometric functional equation: If f(sin(2x))=tan(x), then f(x)=?

A challenging trigonometry problem for precalculus students: if f(sin(2x))=tan(x), then f(x)=? Here we will use the concepts of the inverse function, and tangent half-angle formula, and simplify the expressions of cos(sin^-1(x)). Subscribe to ​⁠ for more math tutorials to help you with your math class! ----------------------------- I help students master the basics of math. You can show your support and help me create even better content by becoming a patron on Patreon 👉   / blackpenredpen  . Every bit of support means the world to me and motivates me to keep bringing you the best math lessons! Thank you! ----------------------------- #math #algebra #mathbasics