Given are the graph of the sine function f(x)=sin(x){\color{orange}f(x)=\sin(x)}f(x)=sin(x) and the graph of the function g {\color{blue}g}g with g(x)=A⋅sin(b⋅x) {\color{blue}g(x)= A\cdot\sin({\color{red}b}\cdot x)}g(x)=A⋅sin(b⋅x).
f(x)=sin(x){\color{orange}f(x)=\sin(x)}f(x)=sin(x)
g {\color{blue}g}g
g(x)=A⋅sin(b⋅x) {\color{blue}g(x)= A\cdot\sin({\color{red}b}\cdot x)}g(x)=A⋅sin(b⋅x)
Determine b{\color{red}b}b.
b{\color{red}b}b