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If sin A = 1/√2, what is the value of A?

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

Options:

  1. 45°
  2. 30°
  3. 60°
  4. 90°

Correct Answer: 45°

Solution: 

The angle A for which sin A = 1/√2 is A = 45°.

If sin A = 1/√2, what is the value of A?

Practice Questions

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

Questions & Step-by-Step Solutions

If sin A = 1/√2, what is the value of A?
  • Step 1: Understand that sin A represents the sine of angle A.
  • Step 2: Recall that sin A = 1/√2 is a known value for specific angles.
  • Step 3: Recognize that sin 45° equals 1/√2.
  • Step 4: Conclude that angle A must be 45° since sin A = 1/√2.
  • Trigonometric Functions – Understanding the values of sine for common angles, particularly in the context of right triangles and the unit circle.
  • Inverse Trigonometric Functions – Using the inverse sine function to determine angle measures from given sine values.
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