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If cos(θ) = 0.5, what is θ in degrees?

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Question: If cos(θ) = 0.5, what is θ in degrees?

Options:

  1. 30°
  2. 60°
  3. 90°
  4. 45°

Correct Answer: 30°

Solution: 

cos(30°) = 0.5, so θ = 30°.

If cos(θ) = 0.5, what is θ in degrees?

Practice Questions

Q1
If cos(θ) = 0.5, what is θ in degrees?
  1. 30°
  2. 60°
  3. 90°
  4. 45°

Questions & Step-by-Step Solutions

If cos(θ) = 0.5, what is θ in degrees?
  • Step 1: Understand that cos(θ) means the cosine of the angle θ.
  • Step 2: Know that cos(30°) equals 0.5.
  • Step 3: Since cos(θ) = 0.5, we can say θ = 30°.
  • Trigonometric Functions – Understanding the cosine function and its values for specific angles.
  • Angle Measurement – Converting between radians and degrees, and recognizing common angle values.
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