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If sin(θ) = 0.866, what is θ? (2022)

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Question: If sin(θ) = 0.866, what is θ? (2022)

Options:

  1. 30°
  2. 45°
  3. 60°
  4. 90°

Correct Answer: 60°

Exam Year: 2022

Solution: 

sin(60°) = √3/2 ≈ 0.866, so θ = 60°.

If sin(θ) = 0.866, what is θ? (2022)

Practice Questions

Q1
If sin(θ) = 0.866, what is θ? (2022)
  1. 30°
  2. 45°
  3. 60°
  4. 90°

Questions & Step-by-Step Solutions

If sin(θ) = 0.866, what is θ? (2022)
  • Step 1: Understand that sin(θ) represents the sine of an angle θ.
  • Step 2: Know that sin(60°) is a common value in trigonometry.
  • Step 3: Recall that sin(60°) equals √3/2.
  • Step 4: Calculate the approximate value of √3/2, which is about 0.866.
  • Step 5: Since sin(θ) = 0.866, we can conclude that θ must be 60°.
  • Trigonometric Functions – Understanding the sine function and its values for common angles.
  • Inverse Trigonometric Functions – Using the inverse sine function to find angles from sine values.
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