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Chapter 7: Q. 86 (page 465)

In Problems 81鈥�92, use a graphing utility to solve each equation. Express the solution(s) rounded to two decimal places.

sinx-cosx=x

Short Answer

Expert verified

The solution set is-1.26

Step by step solution

01

Step 1. Given Information

In the given problems we have to use a graphing utility to solve each equation and express the solution(s) rounded to two decimal places.

sinx-cosx=x

02

Step 2. This type of trigonometric equation cannot be solved by previous methods. A graphing utility, though, can be used here.

Each solution of this equation is the x-coordinate of a point of intersection of the graphs of Y1=sinx-cosxandY2=x.

03

Step 3. The graph of the given equation is

04

Step 4. There are three points of intersection; the x-coordinates are the solutions that we seek.

Using INTERSECT, we find

x=-1.26

The solution set is-1.26.

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