My Learning Cart
?
Categories
Account

If tan^(-1)(x) = π/4, then the value of x is:

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

What’s inside this PDF?

Question: If tan^(-1)(x) = π/4, then the value of x is:

Options:

  1. 0
  2. 1
  3. √2
  4. 2

Correct Answer: 1

Solution: 

tan^(-1)(x) = π/4 implies that x = tan(π/4) = 1.

If tan^(-1)(x) = π/4, then the value of x is:

Practice Questions

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

Questions & Step-by-Step Solutions

If tan^(-1)(x) = π/4, then the value of x is:
  • Step 1: Understand that tan^(-1)(x) means the angle whose tangent is x.
  • Step 2: The equation tan^(-1)(x) = π/4 tells us that the angle is π/4 radians.
  • Step 3: Recall the value of tangent at π/4. We know that tan(π/4) = 1.
  • Step 4: Since tan^(-1)(x) = π/4, we can say that x must equal tan(π/4).
  • Step 5: Therefore, x = 1.
  • Inverse Trigonometric Functions – Understanding the relationship between angles and their corresponding tangent values.
  • Tangent Function – Knowing the value of the tangent function at specific angles, particularly π/4.
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