Given t ≈ 5.9 is a solution to cot t = -2.48, use the period of the function to name three additional solutions.
A) 4.3, 7.5, 9.0
B) 2.8, 9.0, 12.2
C) 1.2, 10.6, 15.3
D) 6.7, 7.5, 8.3

Question

Quizplus · Accepted Answer

The period of cotangent function is π, so we can add or subtract any multiple of π to the given solution t ≈ 5.9 to get more solutions. 
Adding or subtracting multiples of π to 5.9, we get:
t ≈ 5.9 + π ≈ 8.94
t ≈ 5.9 - π ≈ 2.26
t ≈ 5.9 + 2π ≈ 11.25
t ≈ 5.9 - 2π ≈ -0.35
Out of these solutions, only 2.26, 8.94, and 11.25 are within the range 0 ≤ t ≤ 2π, so the only valid choice is B, which contains these three solutions.

Given T ≈ 5