# What is the equation of the tangent line of #r=2cos(theta-pi/2) + sin(2theta-pi)# at #theta=pi/4#?

##### 1 Answer

form is

#### Explanation:

Use

tangent at

Here,

At

So, the point of contact P of the tangent is

The slope of the tangent at P is

So, the equation to the tangent is

Expanding and using

form is

.

graph{(sqrt(x^2+y^2)(x^2+y^2-2y)+2xy)(0.877x-0.48y-0.116)((x-.293)^2+(y-.293)^2-.009)=0 [-5, 5, -2.5, 2.5]}

The Cartesian form is used for the Socratic graph.