Chapter 7: Q. 14 (page 450)

In Problems 13–24, find the exact value of each expression.
cos^-11

Short Answer

Expert verified

Short answer

The exact value of cos^-1 1 is 0.

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 0.

Hence, we get cos^-1 1 = 0

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In Problems 13–24, find the exact value of each expression.
cos^-11

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-11

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

Calculus

Discrete Mathematics

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Decision Maths

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Study anywhere. Anytime. Across all devices.

In Problems 13–24, find the exact value of each expression.
cos^-11