College Math Placement Practice Test

Question: 1 / 400

If sin(θ) = 0.5, what is θ in degrees?

30° or 150°

The value of sin(θ) = 0.5 corresponds to specific angles in standard position. In the unit circle, the sine function gives the y-coordinate of a point on the circle.

When sin(θ) is equal to 0.5, we can find the angles where this occurs by referring to the values of sine for common angles. The sine function reaches 0.5 at 30 degrees, which is located in the first quadrant. Due to the periodic nature of the sine function, it also reaches 0.5 in the second quadrant, specifically at 150 degrees, where the sine is still positive.

Therefore, the two angles that satisfy sin(θ) = 0.5 within the range of 0 to 360 degrees are 30° and 150°. This makes the first choice the correct one.

Understanding that sine is positive in both the first and second quadrants helps clarify why these angles are valid solutions, while the other options do not yield sine values of 0.5.

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45° or 135°

60° or 120°

90° or 270°

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