Precalculus

Question

Find all angles which satisfy the following equation. (Use the parameter k as necessary to represent any integer. Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
cot(θ) = 0

Answer 1

Cot θ = 1/Tan θ = 0

 

Tan θ = ∞ or undefined

 

Tangent is undefined at 90 degrees or Π/2 radians & every additional 180 degrees (Π radians) after that.

 

θ = arctan ∞ = Π/2 + kΠ where k is any integer.