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Chapter 7: Q. 48 (page 465)

In Problems 45鈥�56, use a calculator to solve each equation on the interval . Round answers to two decimal places.
cot胃=2

Short Answer

Expert verified

The solution of the given equation is0.46,3.60

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.
cot胃=2

02

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

Then use the cot-1key to obtain

胃=cot-1(2)胃鈮�0.46364

Rounded to two decimal places, 胃鈮�0.46radian.

03

Step 3. Since cotangent function is positive in third quadrant so we can use the identify cotπ+θ=cotθ

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

胃=蟺+0.46胃=3.60

So the solution set is0.46,3.60.

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