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What is the value of tan(30°)?
What is the value of tan(30°)?
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Practice Questions
1 question
Q1
What is the value of tan(30°)?
√3/3
1/√3
√3
3
Show Solution
Copy
tan(30°) = sin(30°)/cos(30°) = (1/2)/(√3/2) = 1/√3.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the value of tan(30°)?
Solution:
tan(30°) = sin(30°)/cos(30°) = (1/2)/(√3/2) = 1/√3.
Steps: 8
Show Steps
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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