Algebra Practice Test

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Question: 1 / 400

If sin(θ) = 1/2, what values can θ take in degrees?

30° and 150°

The sine function has specific values associated with angles in a unit circle. When sin(θ) = 1/2, we can determine the corresponding angles in the first and second quadrants.

In the first quadrant, the reference angle that results in a sine value of 1/2 is 30°. This is a well-known sine value from both the unit circle and the special triangles.

Moving to the second quadrant, sine is positive, and the angles are found by subtracting the reference angle from 180°. Thus, the other angle that has the sine value of 1/2 is found by calculating 180° - 30°, which results in 150°.

Therefore, the solutions for sin(θ) = 1/2 in degrees are 30° and 150°, making this the correct answer.

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45° and 135°

0° and 180°

60° and 120°

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