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If sin(θ) = 0.866, what is θ in degrees? (2020)

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Question: If sin(θ) = 0.866, what is θ in degrees? (2020)

Options:

  1. 30°
  2. 45°
  3. 60°
  4. 90°

Correct Answer: 60°

Exam Year: 2020

Solution: 

sin(60°) = √3/2 ≈ 0.866, so θ = 60°.

If sin(θ) = 0.866, what is θ in degrees? (2020)

Practice Questions

Q1
If sin(θ) = 0.866, what is θ in degrees? (2020)
  1. 30°
  2. 45°
  3. 60°
  4. 90°

Questions & Step-by-Step Solutions

If sin(θ) = 0.866, what is θ in degrees? (2020)
  • Step 1: Understand that we need to find the angle θ where the sine value is 0.866.
  • Step 2: Recall the sine values of common angles. One of the known values is sin(60°).
  • Step 3: Calculate sin(60°). It is equal to √3/2.
  • Step 4: Approximate √3/2. It is approximately equal to 0.866.
  • Step 5: Since sin(60°) = 0.866, we can conclude that θ = 60°.
  • Trigonometric Functions – Understanding the sine function and its values for common angles.
  • Inverse Trigonometric Functions – Using inverse sine to find angles from sine values.
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