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If cos(θ) = 0.5, what is the value of θ? (2020)

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Question: If cos(θ) = 0.5, what is the value of θ? (2020)

Options:

  1. 0°
  2. 30°
  3. 60°
  4. 90°

Correct Answer: 60°

Solution: 

cos(60°) = 0.5, so θ = 60°.

If cos(θ) = 0.5, what is the value of θ? (2020)

Practice Questions

Q1
If cos(θ) = 0.5, what is the value of θ? (2020)
  1. 0°
  2. 30°
  3. 60°
  4. 90°

Questions & Step-by-Step Solutions

If cos(θ) = 0.5, what is the value of θ? (2020)
  • Step 1: Understand that cos(θ) means the cosine of the angle θ.
  • Step 2: Know that cos(60°) equals 0.5.
  • Step 3: Since cos(θ) = 0.5, we can say θ = 60°.
  • Trigonometric Functions – Understanding the values of trigonometric functions, specifically the cosine function, and their corresponding angles.
  • Inverse Trigonometric Functions – Recognizing that multiple angles can yield the same cosine value, particularly in different quadrants.
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