# What is the slope of the polar curve #f(theta) = 2theta + tan^2theta - costheta # at #theta = (pi)/8#?

##### 1 Answer

Jan 6, 2017

0.48799, nearly.

#### Explanation:

In polar form. slope

where

Here,

at

#=3.335325, nearly.

Now the slope at

where

Upon substitutions and simplification,

slope = 0.48799, nearly.