# What is the slope of the line normal to the tangent line of #f(x) = sin(3x-pi) # at # x= pi/3 #?

##### 1 Answer

Nov 28, 2016

#### Explanation:

We start by finding the corresponding

We now differentiate. We let

Then

By the chain rule,

We now determine the slope of the tangent.

The normal line is perpendicular to the tangent, so the slope will be the negative reciprocal.

We can now determine the equation.

Hopefully this helps!