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If x = tan^(-1)(1/√3), what is the value of x?
If x = tan^(-1)(1/√3), what is the value of x?
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Practice Questions
1 question
Q1
If x = tan^(-1)(1/√3), what is the value of x?
π/6
π/4
π/3
0
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tan^(-1)(1/√3) = π/6, since tan(π/6) = 1/√3.
Questions & Step-by-step Solutions
1 item
Q
Q: If x = tan^(-1)(1/√3), what is the value of x?
Solution:
tan^(-1)(1/√3) = π/6, since tan(π/6) = 1/√3.
Steps: 5
Show Steps
Step 1: Understand that tan^(-1)(1/√3) means we are looking for an angle x whose tangent is 1/√3.
Step 2: Recall the definition of tangent: tan(x) = opposite/adjacent. We need to find an angle where this ratio equals 1/√3.
Step 3: Remember common angles in trigonometry. One of the angles is π/6 (or 30 degrees).
Step 4: Check if tan(π/6) equals 1/√3. It does, because tan(π/6) = 1/√3.
Step 5: Conclude that since tan(x) = 1/√3, then x = π/6.
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