25
QuizMultiple Choice

The Unit Circle — Quiz

Question 25 • Precalculus

Which of the following is true of the location of the terminal side of an angle, theta , whose sine value is 1 half ?

Answer
A
theta has a reference angle of 30 degrees and is in Quadrant I or II
B
theta has a reference angle of 60 degrees and is in Quadrant I or IV
C
theta has a reference angle of 60 degrees and is in Quadrant I or II
D
theta has a reference angle of 30 degrees and is in Quadrant I or IV

Explanation

Since sin 30° = 1/2, the reference angle is 30°. Sine is positive in Quadrants I and II, so the terminal side can lie in either of those quadrants. Therefore, choice D, a reference angle of 30 degrees in Quadrant I or II, is correct.

AI-written and checked against the verified answer.

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