Chapter 7: Q. 8 (page 503)

In Problems 1– 8, find the exact value of each expression. Do not use a calculator.
$\cot^{- 1} (- 1)$

Short Answer

Expert verified

The exact value is $\frac{3 π}{4}$ .

Step by step solution

Step 1. Given Information

We are given an expression $c o t^{- 1} (- 1)$ .

We need to find its exact value.

Step 2. Find the exact value

The inverse cotangent function $y = c o t^{- 1} x$ means that $x = c o t (y)$ where $- \infty < x < \infty$ and $0 < y < π$ .

Let $θ = c o t^{- 1} (- 1)$ , so using the definition of inverse cotangent function it can be written as $- 1 = c o t θ$ where $0 < θ < π$ .

In this interval the angle for which the cotangent value is $- 1$ is $\frac{3 π}{4}$ .

So the value of $c o t^{- 1} (- 1)$ is $\frac{3 π}{4}$ .

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In Problems 1– 8, find the exact value of each expression. Do not use a calculator.
$\cot^{- 1} (- 1)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the exact value

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In Problems 1– 8, find the exact value of each expression. Do not use a calculator.cot-1(-1)

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the exact value

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Theoretical and Mathematical Physics

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Decision Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In Problems 1– 8, find the exact value of each expression. Do not use a calculator.
$\cot^{- 1} (- 1)$