My Learning Cart
?
Categories
Account

What is the value of sec(tan^(-1)(1/√3))?

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

What’s inside this PDF?

Question: What is the value of sec(tan^(-1)(1/√3))?

Options:

  1. 2
  2. √3
  3. 3/2
  4. 1

Correct Answer: 2

Solution: 

Using the triangle with opposite = 1 and adjacent = √3, hypotenuse = 2. Thus, sec(tan^(-1)(1/√3)) = 2.

What is the value of sec(tan^(-1)(1/√3))?

Practice Questions

Q1
What is the value of sec(tan^(-1)(1/√3))?
  1. 2
  2. √3
  3. 3/2
  4. 1

Questions & Step-by-Step Solutions

What is the value of sec(tan^(-1)(1/√3))?
Correct Answer: 2
  • Step 1: Understand that tan^(-1)(1/√3) means we are looking for an angle whose tangent is 1/√3.
  • Step 2: Recall that tangent is defined as opposite side over adjacent side in a right triangle.
  • Step 3: Set up a right triangle where the opposite side is 1 and the adjacent side is √3.
  • Step 4: Use the Pythagorean theorem to find the hypotenuse. The hypotenuse = √(1^2 + (√3)^2) = √(1 + 3) = √4 = 2.
  • Step 5: The secant function (sec) is defined as the hypotenuse over the adjacent side. So, sec(angle) = hypotenuse / adjacent.
  • Step 6: Substitute the values: sec(tan^(-1)(1/√3)) = 2 / √3.
  • Step 7: Since we are looking for sec(tan^(-1)(1/√3)), we find that sec(tan^(-1)(1/√3)) = 2.
No concepts available.
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