Chapter 7: Q. 16 (page 450)

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

Short Answer

Expert verified

The exact value of cos^-1 (- 1) is $π$ .

Step by step solution

Step 1. Given Information:

Given expression: cos^-1 (- 1)

We want to find the exact value of given expression.

Step 2. Solution:

The given expression can be rewritten as:

$\cos^{- 1} (- 1) = x; 0 \leq x \leq π$

Hence we get cos (x) = - 1

Since we have cos^-1 function initially, the bounds on the cos function are going to be in the interval $[0, π]$ which represents the range of cos^-1 function.

Using the unit circle, we know that in order to get (- 1), x must be equal to $π$ .

Hence, we get $\cos^{- 1} (- 1) = π$

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In Problems 13–24, find the exact value of each expression.
cos^-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.cos-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

Logic and Functions

Calculus

Probability and Statistics

Mechanics Maths

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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