Question

Determine the period, amplitude, and frequency of 8sin(x/2)

Answer 1

`\bf \qquad \textit{function transformations} \\ \quad \\ % function transformations for trigonometric functions \begin{array}{rllll} % left side templates f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ \end{array}`




`\bf \begin{array}{llll} \bullet \textit{function period}\\ \qquad \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\ \qquad \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta) \end{array}`

now, let's see yours
`\bf 8sin\left( (x)/(2) \right)\implies \begin{array}{llll} 8sin(&(1)/(2)x)\\ A&B \end{array}`

now.. as far as I understand, the frequency is supposed to be the reciprocal of the period