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Chapter 7: Q. 67 (page 451)

Find the exact solution of each equation:

4cos-1x-2蟺=2cos-1x4

Short Answer

Expert verified

The exact solution for the equation4cos-1x-2蟺=2cos-1xis{-1}.

Step by step solution

01

Step 1. Given Information.

The trigonometric equation is,

4cos-1x-2蟺=2cos-1x.

02

Step 2. Finding the value.

The equation is,

4cos-1x-2蟺=2cos-1x

Simplifying the equation,

4cos-1x-2cos-1x=2蟺2cos-1x=2蟺

Dividing both sides by 2,

2cos-1x2=2蟺2鈬�cos-1x=蟺

The equation is rewritten as,

x=cos蟺鈬�x=-1

The solution set is{-1}.

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