# What is the equation of the tangent line of #r=-5cos(-theta-(pi)/4) + 2sin(theta-(pi)/12)# at #theta=(-5pi)/12#?

##### 2 Answers

Oct 6, 2017

See explanation

#### Explanation:

Recall that in polar coordinates, you have

Since

Then...

Oct 6, 2017

The polar equation is invalid when

#### Explanation:

We have a polar equation:

# r = -5cos(-theta-pi/4) + 2sin(theta-pi/12) #

When

# r = -5cos(pi/6) + 2sin(-pi/2) #

# \ \ = -(5sqrt(3))/2-2 #

# \ \ ~~-6 #

Hence, The polar equation is invalid when