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If cos B = 1/2, what is the value of angle B in degrees?

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Question: If cos B = 1/2, what is the value of angle B in degrees?

Options:

  1. 30°
  2. 60°
  3. 90°
  4. 120°

Correct Answer: 60°

Solution: 

Cosine of 60° is 1/2, hence angle B = 60°.

If cos B = 1/2, what is the value of angle B in degrees?

Practice Questions

Q1
If cos B = 1/2, what is the value of angle B in degrees?
  1. 30°
  2. 60°
  3. 90°
  4. 120°

Questions & Step-by-Step Solutions

If cos B = 1/2, what is the value of angle B in degrees?
  • Step 1: Understand that 'cos' refers to the cosine function in trigonometry.
  • Step 2: Recall that the cosine of an angle gives the ratio of the adjacent side to the hypotenuse in a right triangle.
  • Step 3: Know that cos B = 1/2 means we are looking for an angle B where the cosine value is 1/2.
  • Step 4: Remember that the cosine of 60 degrees is equal to 1/2.
  • Step 5: Therefore, conclude that angle B must be 60 degrees.
  • Trigonometric Functions – Understanding the values of trigonometric functions, specifically the cosine function, and their corresponding angles.
  • Angle Measurement – Knowledge of angle measurement in degrees and the ability to identify specific angles based on trigonometric values.
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