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Solve for x: cos(x) = 0.5, where 0 ≤ x < 360°.

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Question: Solve for x: cos(x) = 0.5, where 0 ≤ x < 360°.

Options:

  1. 60°
  2. 120°
  3. 240°
  4. 300°

Correct Answer: 60°

Solution: 

cos(x) = 0.5 gives x = 60° and 300°.

Solve for x: cos(x) = 0.5, where 0 ≤ x < 360°.

Practice Questions

Q1
Solve for x: cos(x) = 0.5, where 0 ≤ x < 360°.
  1. 60°
  2. 120°
  3. 240°
  4. 300°

Questions & Step-by-Step Solutions

Solve for x: cos(x) = 0.5, where 0 ≤ x < 360°.
  • Trigonometric Functions – Understanding the properties of cosine and its values at specific angles.
  • Unit Circle – Using the unit circle to determine angles corresponding to specific cosine values.
  • Quadrants – Recognizing that cosine is positive in the first and fourth quadrants.
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