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Chapter 7: Q. 45 (page 465)

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

sin胃=0.4

Short Answer

Expert verified

The solution of the given equation is{0.41,2.73}.

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.
sin胃=0.4

02

Step 2. To solve sinθ=0.4 on a calculator, first set the mode to radians.

Then use the sin-1key to obtain

胃=sin-10.4胃鈮�0.411516

Rounded to two decimal places, 胃=0.41radian.

03

Step 3. Since sine function is positive in second quadrant so we can use the identify sinπ-θ=sinθ.

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

胃=蟺-0.41胃=2.73

So the solution set is{0.41,2.73}.

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Most popular questions from this chapter

If tan伪=x+1and role="math" localid="1646425111199" tan尾=x-1,show that

role="math" localid="1646426027733" 2cot(伪-b)=x2

tan2胃-sec2胃

Establish each identity.

1+sin胃1-sin胃-1-sin胃1+sin胃=4tan胃sec胃

Establish each identity.

(2cos2胃-1)2cos4胃-sin4胃=1-2sin2胃

solve each equation on the interval

0鈮�胃<2蟺

sin胃+cos胃=2
See all solutions

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