My Learning Cart
?
Categories
Account

If x = tan^(-1)(1/√3), what is the value of x?

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If x = tan^(-1)(1/√3), what is the value of x?

Options:

  1. π/6
  2. π/4
  3. π/3
  4. 0

Correct Answer: π/6

Solution: 

tan^(-1)(1/√3) = π/6, since tan(π/6) = 1/√3.

If x = tan^(-1)(1/√3), what is the value of x?

Practice Questions

Q1
If x = tan^(-1)(1/√3), what is the value of x?
  1. π/6
  2. π/4
  3. π/3
  4. 0

Questions & Step-by-Step Solutions

If x = tan^(-1)(1/√3), what is the value of x?
Correct Answer: π/6
  • 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.
  • Inverse Trigonometric Functions – Understanding how to evaluate inverse tangent functions and their corresponding angles.
  • Trigonometric Values – Knowledge of common angles and their tangent values, particularly for π/6, π/4, and π/3.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks