Chapter 7.3, Problem 87AYU

In Problems 83-94, use a graphing utility to solve each equation. Express the solution(s) rounded to two decimal places.

$x^2-2\cos x=0$

To determine

To find: Trigonometric equation in the form of $f\left(x\right)=x^2-2\cos x=0$ using graphic utility and to express the solution up to two decimal places.

Answer to Problem 87AYU

The solution set using graphic utility $=\left\{-1\text{, }1\right\}$.

Explanation of Solution

Given:

Trigonometric equation $f\left(x\right)=x^2-2\cos x=0$.

Calculation:

$y=f\left(x\right)=x^2-2\cos x=0$

Each solution of the equation is the $x\text{-coordinate}$ of the point of intersection of the graph of,

$y=f\left(x\right)=x^2-2\cos x=0$

There are 2intersections on the $x\text{-axis}$ of the graph of,

$y=f\left(x\right)=x^2-2\cos x=0$

The solution $\text{set }=\left\{-1\text{, }1\right\}$.