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If cos(x) = 0.5, what is the value of x in degrees?

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Question: If cos(x) = 0.5, what is the value of x in degrees?

Options:

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

Correct Answer: 30

Solution: 

cos(30°) = 0.5.

If cos(x) = 0.5, what is the value of x in degrees?

Practice Questions

Q1
If cos(x) = 0.5, what is the value of x in degrees?
  1. 30
  2. 60
  3. 90
  4. 120

Questions & Step-by-Step Solutions

If cos(x) = 0.5, what is the value of x in degrees?
  • Step 1: Understand that cos(x) = 0.5 means we are looking for an angle x where the cosine value is 0.5.
  • Step 2: Recall the special angles in trigonometry. One of the angles where cos(x) = 0.5 is 30 degrees.
  • Step 3: Therefore, we can conclude that x = 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 how it relates to the values of sine and cosine at specific angles.
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