SOLUTION: Which of the following functions is shown in the graph linked below? Graph: https://i.imgsafe.org/2ad1bf3125.png A) y = 2 tan Θ B) y = 2 cot Θ C) y = 2 cot (&#920

Algebra ->  Finance -> SOLUTION: Which of the following functions is shown in the graph linked below? Graph: https://i.imgsafe.org/2ad1bf3125.png A) y = 2 tan Θ B) y = 2 cot Θ C) y = 2 cot (&#920      Log On


   

Question 1040603: Which of the following functions is shown in the graph linked below?
Graph: https://i.imgsafe.org/2ad1bf3125.png
A) y = 2 tan Θ
B) y = 2 cot Θ
C) y = 2 cot (Θ/2)
D) y = 2 tan (Θ/2)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
At pi/2, the value is 2. It increases to infinity on the positive side of pi.
This period is halved. At pi/4, the tangent is 1, and goes to infinity on the positive side of pi.
Therefore, this is 2 tan (theta/2), or D.
Cotangent is 0 at pi/2, so those are excluded.
Tangent is not positive between pi/2 and pi, so the period has to be lengthened for this to take place.