Chapter 7: Q. 85 (page 458)

Explain in your own words how you would use your calculator to find the value of $c o t^{- 1} 10$ .

Short Answer

Expert verified

The value of $c o t^{- 1} (10)$ can be calculated by using the equivalent function $\tan^{- 1} (\frac{1}{10})$ .

Step by step solution

Step 1. Given information.

The function $c o t^{- 1} 10$ .

Step 2. Convert cotangent function to tangent.

Let,

$c o t^{- 1} 10 = x c o t x = 10 s o, \tan x = (\frac{1}{c o t x}) = (\frac{1}{10}) x = \tan^{- 1} (\frac{1}{10})$

Step 3. Now, calculate the required value by using inverse tangent function in calculator.

As,

$c o t^{- 1} 10 = x = \tan^{- 1} (\frac{1}{10})$

Now, use calculator and type $\tan^{- 1} (\frac{1}{10})$ :

$\tan^{- 1} (\frac{1}{10}) \approx 5.71 °$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Explain in your own words how you would use your calculator to find the value of $c o t^{- 1} 10$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Convert cotangent function to tangent.

Step 3. Now, calculate the required value by using inverse tangent function in calculator.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Mechanics Maths

Logic and Functions

Statistics

Discrete Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Explain in your own words how you would use your calculator to find the value ofcot-110.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Convert cotangent function to tangent.

Step 3. Now, calculate the required value by using inverse tangent function in calculator.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Mechanics Maths

Logic and Functions

Statistics

Discrete Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Explain in your own words how you would use your calculator to find the value of $c o t^{- 1} 10$ .