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If sin(θ) = 0.8, what is the value of θ in degrees?

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Question: If sin(θ) = 0.8, what is the value of θ in degrees?

Options:

  1. 30
  2. 45
  3. 53.13
  4. 60

Correct Answer: 53.13

Solution: 

θ = sin⁻¹(0.8) ≈ 53.13°

If sin(θ) = 0.8, what is the value of θ in degrees?

Practice Questions

Q1
If sin(θ) = 0.8, what is the value of θ in degrees?
  1. 30
  2. 45
  3. 53.13
  4. 60

Questions & Step-by-Step Solutions

If sin(θ) = 0.8, what is the value of θ in degrees?
  • Step 1: Understand that sin(θ) = 0.8 means we are looking for an angle θ where the sine value is 0.8.
  • Step 2: Use the inverse sine function, which is written as sin⁻¹ or arcsin, to find θ.
  • Step 3: Calculate θ by finding sin⁻¹(0.8) using a calculator or a sine table.
  • Step 4: The result from the calculation will give you the angle θ in degrees.
  • Inverse Trigonometric Functions – Understanding how to use the inverse sine function to find angles from sine values.
  • Angle Measurement – Converting the output of the inverse sine function into degrees.
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