Question

which of the following is true of the location of the terminal side of an angle, θ, whose sine value is \\(\frac{1}{2}\\)?

• θ has a reference angle of 30° and is in quadrant i or ii
• θ has a reference angle of 30° and is in quadrant i or iv
• θ has a reference angle of 60° and is in quadrant i or ii
• θ has a reference angle of 60° and is in quadrant i or iv

Explanation:

Step1: Find reference angle

$\sin(30^\circ) = \frac{1}{2}$, so reference angle is $30^\circ$.

Step2: Determine quadrants

Sine is positive in Quadrant I and II.

Answer:

θ has a reference angle of 30° and is in Quadrant I or II