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If cos(θ) = 1/2, what is θ in degrees?

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Question: If cos(θ) = 1/2, what is θ in degrees?

Options:

  1. 30°
  2. 45°
  3. 60°
  4. 90°

Correct Answer: 60°

Solution: 

cos(60°) = 1/2, so θ = 60°

If cos(θ) = 1/2, what is θ in degrees?

Practice Questions

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

Questions & Step-by-Step Solutions

If cos(θ) = 1/2, what is θ in degrees?
  • Step 1: Understand that cos(θ) means the cosine of angle θ.
  • Step 2: Recall that the cosine function gives the ratio of the adjacent side to the hypotenuse in a right triangle.
  • Step 3: Know that cos(60°) equals 1/2 from trigonometric values.
  • Step 4: Since cos(θ) = 1/2, we can set θ equal to 60°.
  • Step 5: Conclude that θ = 60°.
  • Trigonometric Functions – Understanding the values of trigonometric functions, specifically the cosine function, and their corresponding angles.
  • Unit Circle – Knowledge of the unit circle and how angles correspond to specific cosine values.
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