Question

Convert Ø=π/3 to a Cartesian equation.y = x/2y = √3x/2y = √3x

Answer 1

As per given by the question,

There are given that ,

`\theta=(\pi)/(3)`

Now,

For cartesian form;

Suppose,

`(y)/(x)=\tan (\theta)`

Then,

`\begin{gathered} (y)/(x)=\tan (\theta) \\ y=\tan (\theta)x \end{gathered}`

Now,

Put the value of theeta in above formula,

So,

`\begin{gathered} y=\tan (\theta)x \\ y=\tan ((\pi)/(3))x \\ y=\sqrt[]{3x} \end{gathered}`

Hence, the option C is correct.