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What is the value of tan(30°)?

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Question: What is the value of tan(30°)?

Options:

  1. √3/3
  2. 1/√3
  3. √3
  4. 3

Correct Answer: √3/3

Solution: 

tan(30°) = sin(30°)/cos(30°) = (1/2)/(√3/2) = 1/√3.

What is the value of tan(30°)?

Practice Questions

Q1
What is the value of tan(30°)?
  1. √3/3
  2. 1/√3
  3. √3
  4. 3

Questions & Step-by-Step Solutions

What is the value of tan(30°)?
Correct Answer: 1/√3
  • Step 1: Understand that tan(30°) means the tangent of 30 degrees.
  • Step 2: Recall the formula for tangent: tan(θ) = sin(θ) / cos(θ).
  • Step 3: Substitute 30° into the formula: tan(30°) = sin(30°) / cos(30°).
  • Step 4: Find the value of sin(30°). It is 1/2.
  • Step 5: Find the value of cos(30°). It is √3/2.
  • Step 6: Substitute these values into the formula: tan(30°) = (1/2) / (√3/2).
  • Step 7: Simplify the fraction: (1/2) divided by (√3/2) is the same as (1/2) * (2/√3).
  • Step 8: The 2s cancel out, leaving you with 1/√3.
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