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If sin(θ) = 1/√2, what is θ in degrees?

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Question: If sin(θ) = 1/√2, what is θ in degrees?

Options:

  1. 30°
  2. 45°
  3. 60°
  4. 90°

Correct Answer: 45°

Solution:

sin(45°) = 1/√2, so θ = 45°

If sin(θ) = 1/√2, what is θ in degrees?

Practice Questions

Q1
If sin(θ) = 1/√2, what is θ in degrees?
  1. 30°
  2. 45°
  3. 60°
  4. 90°

Questions & Step-by-Step Solutions

If sin(θ) = 1/√2, what is θ in degrees?
  • Step 1: Understand that sin(θ) represents the sine of an angle θ.
  • Step 2: We are given that sin(θ) = 1/√2.
  • Step 3: Recall that sin(45°) is equal to 1/√2.
  • Step 4: Since sin(θ) = sin(45°), we can conclude that θ = 45°.
  • Trigonometric Functions – Understanding the sine function and its values for common angles.
  • Inverse Trigonometric Functions – Using the sine function to determine angle measures.
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