Cosine trigonometry

Question

Assume 0 ≤ θ ≤ πIf cos(θ) = 1, What is csc(θ)? cot(θ)?

Answer 1

The only time cos(theta) = 1 in that interval is at theta=0.

 

csc(theta) = 1/sin(theta). sin(0) = 0, so csc(0) doesn't exist.

 

cot(theta) = cos(theta)/sin(theta). cos(0) = 1, and sin(0) = 0, so cot(0) = 1/0, which again doesn't exist.