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

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

Options:

  1. 30
  2. 60
  3. 90
  4. 120

Correct Answer: 30

Solution: 

cos(30°) = 1/2, hence θ = 30°.

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

Practice Questions

Q1
If cos(θ) = 1/2, what is the value of θ in degrees?
  1. 30
  2. 60
  3. 90
  4. 120

Questions & Step-by-Step Solutions

If cos(θ) = 1/2, what is the value of 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(30°) equals 1/2.
  • Step 4: Since cos(θ) = 1/2, we can set θ = 30°.
  • Step 5: Conclude that the value of θ is 30°.
  • Trigonometric Functions – Understanding the values of trigonometric functions, specifically the cosine function, and their corresponding angles.
  • Unit Circle – Knowledge of the unit circle and the angles where cosine takes specific values.
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