Use the unit circle to find all values of θ between 0 and 2 π for which .
B)
C)
D)

Question

Use the unit circle to find all values of θ  between 0 and 2 π  for which  . ​
B)​ 
C)​ 
D)​

Quizplus · Accepted Answer

From the unit circle, we know that sin θ = y-coordinate of point on the unit circle.
Therefore, sin θ = 1/2 at π/6 and 5π/6 on the unit circle. 
However, the question is asking for values of θ between 0 and 2π, so we add 2π to each of these values to get all possible solutions: 
θ = π/6 + 2πn and θ = 5π/6 + 2πn, where n is an integer.
Combining these two expressions, we get: θ = π/6 + 2πn or θ = 5π/6 + 2πn, where n is an integer.
Therefore, the answer is B because it includes both possible solutions.

Use the Unit Circle to Find All Values of θ