Answered

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

Sagot :

As per given by the question,

There are given that ,

[tex]\theta=\frac{\pi}{3}[/tex]

Now,

For cartesian form;

Suppose,

[tex]\frac{y}{x}=\tan (\theta)[/tex]

Then,

[tex]\begin{gathered} \frac{y}{x}=\tan (\theta) \\ y=\tan (\theta)x \end{gathered}[/tex]

Now,

Put the value of theeta in above formula,

So,

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

Hence, the option C is correct.

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