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If cos(θ) = 0, what is the value of θ? (2017)

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Question: If cos(θ) = 0, what is the value of θ? (2017)

Options:

  1. 0°
  2. 90°
  3. 180°
  4. 270°

Correct Answer: 90°

Exam Year: 2017

Solution: 

cos(90°) = 0, so θ = 90°

If cos(θ) = 0, what is the value of θ? (2017)

Practice Questions

Q1
If cos(θ) = 0, what is the value of θ? (2017)
  1. 0°
  2. 90°
  3. 180°
  4. 270°

Questions & Step-by-Step Solutions

If cos(θ) = 0, what is the value of θ? (2017)
  • Step 1: Understand that cos(θ) represents the cosine of an angle θ.
  • Step 2: Recall that the cosine function equals 0 at specific angles.
  • Step 3: Identify the angle where cos(θ) = 0. This occurs at 90° and 270°.
  • Step 4: Conclude that θ can be 90° or 270°.
  • 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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