# What is the slope of the line normal to the tangent line of #f(x) = cscx+cos^2(5x-pi) # at # x= (11pi)/8 #?

##### 1 Answer

Jun 7, 2018

#### Explanation:

This may be a wildly constructed problem, but here's my attempt to answer it:

To determine the slope of any tangent line, we need the derivative of the curve. For this problem:

When

the slope of the tangent line at that point is:

Since the lines are perpendicular, the slope of the normal line is the negative reciprocal of the slope of the tangent:

So,