If sin A = 1/2, what are the possible values of A in the range [0°, 360°]?

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Question: If sin A = 1/2, what are the possible values of A in the range [0°, 360°]?

Options:

Correct Answer: 30°, 150°

Solution:

sin A = 1/2 at A = 30° and A = 150°.

If sin A = 1/2, what are the possible values of A in the range [0°, 360°]?

If sin A = 1/2, what are the possible values of A in the range [0°, 360°]?

Step 1: Understand that sin A = 1/2 means we are looking for angles A where the sine value is 1/2.
Step 2: Recall the unit circle and the values of sine for common angles.
Step 3: Identify that sin 30° = 1/2. This gives us one possible angle: A = 30°.
Step 4: Recognize that sine is positive in the first and second quadrants.
Step 5: In the second quadrant, the angle that has the same sine value as 30° is 180° - 30° = 150°.
Step 6: List the possible angles: A = 30° and A = 150°.

Trigonometric Functions – Understanding the sine function and its values in different quadrants.
Unit Circle – Using the unit circle to determine angles corresponding to specific sine values.
Angle Range – Identifying angles within a specified range, particularly in degrees.