Question

Find the cos equation given amplitude: 6, period: 2π, vertical shift: 0, and horizontal shift: 2000 A 1 2x

Answer 1

Given:

`\begin{gathered} \text{ For cos equation Amplitude : 6, period : }2\pi,\text{ vertical shift : 0, and } \\ \text{ horizontal shift : }(2\pi)/(3). \end{gathered}`

Required:

Find the cos equation.

Step-by-step explanation:

First of all we need to know cosine function. That is

`\begin{gathered} y=Acos(B\theta-C)+D \\ Where, \\ A(Amplitude) \\ (2\pi)/(|B|)=period \\ (C)/(B)=phase(horixontal\text{ s}hift) \\ D=vertical\text{ }shift \end{gathered}`

Now, the equation

`y=6cos(\theta-(2\pi)/(3))`