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What is the value of tan(60°)?

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Question: What is the value of tan(60°)?

Options:

  1. 1
  2. √3
  3. √2
  4. 0

Correct Answer: √3

Solution: 

tan(60°) = √3.

What is the value of tan(60°)?

Practice Questions

Q1
What is the value of tan(60°)?
  1. 1
  2. √3
  3. √2
  4. 0

Questions & Step-by-Step Solutions

What is the value of tan(60°)?
  • Step 1: Understand that tan(60°) is a trigonometric function that relates to a right triangle.
  • Step 2: Recall that in a 30-60-90 triangle, the sides are in the ratio 1 : √3 : 2.
  • Step 3: Identify that for tan(θ), we use the formula tan(θ) = opposite/adjacent.
  • Step 4: For 60°, the opposite side is √3 and the adjacent side is 1.
  • Step 5: Calculate tan(60°) = opposite/adjacent = √3/1.
  • Step 6: Simplify the fraction to get tan(60°) = √3.
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