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If sin(θ) = 0.6, what is the approximate value of θ in degrees? (2019)

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Question: If sin(θ) = 0.6, what is the approximate value of θ in degrees? (2019)

Options:

  1. 36.87°
  2. 45°
  3. 53.13°
  4. 60°

Correct Answer: 53.13°

Exam Year: 2019

Solution: 

Using inverse sine, θ ≈ 36.87°

If sin(θ) = 0.6, what is the approximate value of θ in degrees? (2019)

Practice Questions

Q1
If sin(θ) = 0.6, what is the approximate value of θ in degrees? (2019)
  1. 36.87°
  2. 45°
  3. 53.13°
  4. 60°

Questions & Step-by-Step Solutions

If sin(θ) = 0.6, what is the approximate value of θ in degrees? (2019)
  • Step 1: Understand that sin(θ) = 0.6 means we are looking for an angle θ whose sine value is 0.6.
  • Step 2: Use the inverse sine function, which is written as sin⁻¹ or arcsin, to find θ.
  • Step 3: Input the value 0.6 into the inverse sine function: θ = sin⁻¹(0.6).
  • Step 4: Use a calculator or a sine table to find the value of θ.
  • Step 5: The calculator will give you θ ≈ 36.87°.
  • Trigonometric Functions – Understanding the sine function and its inverse, specifically how to find angles given a sine value.
  • Inverse Trigonometric Functions – Using the inverse sine function (arcsin) to determine the angle from a given sine value.
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