Geometry
# Graphs of Trigonometric Functions

Which of the following could be the function graphed above?

$y = \color{#D61F06}{A}\sin(x)+\color{#3D99F6}{B}\cos(x)$ for integers $\color{#D61F06}{A}$ and $\color{#3D99F6}{B},$ find $\color{#D61F06}{A}-\color{#3D99F6}{B}.$

Given the graph above of$\large \color{#69047E}{g(x)=\cos|x|+\sin|x|}$

Find the fundamental period of the function $\color{#69047E}{g(x)}$.

Find the fundamental period of the function $f(x) =\sin(36x)$.