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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°]?
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Practice Questions
1 question
Q1
If sin A = 1/2, what are the possible values of A in the range [0°, 360°]?
30°, 150°
45°, 135°
60°, 300°
90°, 270°
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sin A = 1/2 at A = 30° and A = 150°.
Questions & Step-by-step Solutions
1 item
Q
Q: If sin A = 1/2, what are the possible values of A in the range [0°, 360°]?
Solution:
sin A = 1/2 at A = 30° and A = 150°.
Steps: 6
Show Steps
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°.
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