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What is the value of tan(45°)?

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Question: What is the value of tan(45°)?

Options:

  1. 0
  2. 1
  3. √3
  4. ∞

Correct Answer: 1

Solution: 

tan(45°) = 1.

What is the value of tan(45°)?

Practice Questions

Q1
What is the value of tan(45°)?
  1. 0
  2. 1
  3. √3
  4. ∞

Questions & Step-by-Step Solutions

What is the value of tan(45°)?
Correct Answer: 1
  • Step 1: Understand what 'tan' means. 'Tan' is short for tangent, which is a function in trigonometry.
  • Step 2: Know that tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side.
  • Step 3: Recognize that at 45 degrees, the opposite and adjacent sides are equal in length.
  • Step 4: Since the opposite side and adjacent side are equal, their ratio (opposite/adjacent) is 1.
  • Step 5: Therefore, tan(45°) = 1.
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