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If cos C = 0.5, what is the value of angle C in degrees?

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Question: If cos C = 0.5, what is the value of angle C in degrees?

Options:

  1. 30
  2. 60
  3. 90
  4. 45

Correct Answer: 60

Solution:

The angle C for which cos C = 0.5 is 60°.

If cos C = 0.5, what is the value of angle C in degrees?

Practice Questions

Q1
If cos C = 0.5, what is the value of angle C in degrees?
  1. 30
  2. 60
  3. 90
  4. 45

Questions & Step-by-Step Solutions

If cos C = 0.5, what is the value of angle C in degrees?
  • Step 1: Understand that cos C = 0.5 means we are looking for an angle C where the cosine value is 0.5.
  • Step 2: Recall that the cosine of an angle in a right triangle is the ratio of the adjacent side to the hypotenuse.
  • Step 3: Remember the special angles in trigonometry. One of the angles where cos C = 0.5 is 60 degrees.
  • Step 4: Therefore, angle C is 60 degrees.
  • 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 for specific angles.
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