Question

How do you find the period of a sine or cosine function? Example: .5sin(1/6)x

Answer 1

\(\bf y = {\color{purple}{ A}} ( {\color{blue}{ B}}x + {\color{red}{ C}} ) + {\color{green}{ D}}
\\ \quad \\ \quad \\

period=\cfrac{2\pi }{{\color{blue}{ B}}}\)

Answer 2

well... in this case I assume

\(\bf y = {\color{purple}{ 5}} sin \left( {\color{blue}{ \frac{1}{6}}}x + {\color{red}{ 0}} \right) + {\color{green}{ 0}}
\\ \quad \\ \quad \\

period=\cfrac{2\pi }{{\color{blue}{ B}}}\)