Find the points on the given curve where the tangent line is horizontal or vertical. (assume 0 ≤ θ < π. enter your answers as a comma-separated list of ordered pairs.)r = 6 cos(θ)

point of horizontal tangent is and point of vertical tangent is

Step-by-step explanation:

For a horizontal tangent it's slope should be zero thus

Thus the ordered pair of becomes (0,6) at this point tangent is horizontal

For a vertical tangent it's slope should be

Again differentiating the given curve we get  

Thus the ordered pair of vertical tangent becomes (

b

step-by-step explanation:

5

step-by-step explanation: