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Chapter 7: Q. 46 (page 465)

In Problems 45鈥�56, use a calculator to solve each equation on the interval . Round answers to two decimal places.
cos胃=0.6

Short Answer

Expert verified

The solution of the given equation is0.93,5.35.

Step by step solution

01

Step 1. Given Information 

In the given problems we have to use a calculator to solve each equation on the interval and round answers to two decimal places.
cos胃=0.6

02

Step 2. To solve cosθ=0.6 on a calculator, first set the mode to radians.

Then use the cos-1key to obtain

胃=cos-10.6胃鈮�0.92729

Rounded to two decimal places, 胃=0.93radian.

03

Step 3. Since cosine function is positive in fourth quadrant so we can use the identify cos2π-θ=cosθ

To find the second solution within [0,2蟺)

胃=2蟺-0.93胃=5.35

So the solution set is 0.93,5.35.

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