Chapter 7: Q. 18 (page 450)

In Problems 13–24, find the exact value of each expression.
tan^-1(- 1)

Short Answer

Expert verified

The exact value of tan^-1 0 is $- \frac{π}{4}$ .

Step by step solution

Step 1. Given Information:

Given expression:tan^-1 (- 1)

We want to find the exact value of given expression.

Step 2. Solution:

The given expression can be rewritten as:

$\tan^{- 1} (- 1) = y; - \frac{π}{2} < y < \frac{π}{2}$

Hence we get tan (y) = - 1

Since we have tan^-1 function initially, the bounds on the tan function are going to be in the interval $(- \frac{π}{2}, \frac{π}{2})$ which represents the range of tan^-1 function.

Using the unit circle, we know that in order to get (- 1) , y must be equal to $- \frac{π}{4}$ .

Hence, we get $\tan^{- 1} (- 1) = - \frac{π}{4}$ .

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In Problems 13–24, find the exact value of each expression.
tan^-1(- 1)

Short Answer

Step by step solution

Step 1. Given Information:

Step 2. Solution:

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In Problems 13–24, find the exact value of each expression.tan-1(- 1)

Short Answer

Step by step solution

Step 1. Given Information:

Step 2. Solution:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Pure Maths

Geometry

Logic and Functions

Decision Maths

Study anywhere. Anytime. Across all devices.

In Problems 13–24, find the exact value of each expression.
tan^-1(- 1)