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If sin A = 1/2, what is the value of A in the first quadrant?

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Question: If sin A = 1/2, what is the value of A in the first quadrant?

Options:

  1. 30°
  2. 45°
  3. 60°
  4. 90°

Correct Answer: 30°

Solution: 

In the first quadrant, sin A = 1/2 corresponds to A = 30°.

If sin A = 1/2, what is the value of A in the first quadrant?

Practice Questions

Q1
If sin A = 1/2, what is the value of A in the first quadrant?
  1. 30°
  2. 45°
  3. 60°
  4. 90°

Questions & Step-by-Step Solutions

If sin A = 1/2, what is the value of A in the first quadrant?
  • Step 1: Understand that sin A = 1/2 means we are looking for an angle A where the sine value is 1/2.
  • Step 2: Recall the basic angles in trigonometry. The sine of 30° is known to be 1/2.
  • Step 3: Since we are looking for the value of A in the first quadrant, we only consider angles from 0° to 90°.
  • Step 4: Confirm that 30° is in the first quadrant.
  • Step 5: Therefore, the value of A is 30°.
  • Trigonometric Functions – Understanding the values of sine, cosine, and tangent for common angles in the unit circle.
  • Quadrants of the Unit Circle – Recognizing the signs and values of trigonometric functions in different quadrants.
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