# What is the equation of the line normal to # f(x)=x/tanx# at # x=pi/3#?

##### 1 Answer

The equation for the normal line of the function at

#### Explanation:

To find the equation of the line normal to the function, we first find the slope of the tangent line.

Find the derivative of the function, to give us the slope of the tangent line. Using the quotient rule for derivatives, we get:

At

To find the slope of the normal line,

So,

Using the above equation, we get that the slope of the normal line at

We need the point coordinates at

So, the point is

Now we can use point-slope form,

The equation for the normal line is: