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If tan(θ) = 1, what is the value of θ? (2020)

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Question: If tan(θ) = 1, what is the value of θ? (2020)

Options:

  1. 0°
  2. 30°
  3. 45°
  4. 60°

Correct Answer: 45°

Solution: 

tan(45°) = 1, so θ = 45°.

If tan(θ) = 1, what is the value of θ? (2020)

Practice Questions

Q1
If tan(θ) = 1, what is the value of θ? (2020)
  1. 0°
  2. 30°
  3. 45°
  4. 60°

Questions & Step-by-Step Solutions

If tan(θ) = 1, what is the value of θ? (2020)
  • Step 1: Understand that tan(θ) represents the tangent of an angle θ.
  • Step 2: Recall that the tangent function is defined as the ratio of the opposite side to the adjacent side in a right triangle.
  • Step 3: Know that tan(45°) equals 1 because in a 45°-45°-90° triangle, the opposite and adjacent sides are equal.
  • Step 4: Since tan(θ) = 1, we can conclude that θ must be 45°.
  • Trigonometric Functions – Understanding the tangent function and its values at specific angles.
  • Inverse Trigonometric Functions – Recognizing that multiple angles can yield the same tangent value due to periodicity.
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