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If cos(θ) = 0.707, what is θ? (2020)

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Question: If cos(θ) = 0.707, what is θ? (2020)

Options:

  1. 30°
  2. 45°
  3. 60°
  4. 90°

Correct Answer: 45°

Exam Year: 2020

Solution: 

cos(45°) = √2/2 ≈ 0.707, so θ = 45°.

If cos(θ) = 0.707, what is θ? (2020)

Practice Questions

Q1
If cos(θ) = 0.707, what is θ? (2020)
  1. 30°
  2. 45°
  3. 60°
  4. 90°

Questions & Step-by-Step Solutions

If cos(θ) = 0.707, what is θ? (2020)
  • Step 1: Understand that cos(θ) represents the cosine of an angle θ.
  • Step 2: Know that cos(45°) is a common value in trigonometry.
  • Step 3: Recall that cos(45°) = √2/2.
  • Step 4: Calculate √2/2, which is approximately 0.707.
  • Step 5: Since cos(θ) = 0.707, we can conclude that θ = 45°.
  • Trigonometric Functions – Understanding the cosine function and its values for common angles.
  • Inverse Trigonometric Functions – Using inverse functions to find angles from known trigonometric values.
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