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Chapter 7: Q. 77 (page 496)

In Problems 69-78, solve each equation on the intervaltan(2胃)+2sin胃=0

Short Answer

Expert verified

The solution set is胃鈭�2蟺3,4蟺3

Step by step solution

01

Given information

Given functiontan(2胃)+2sin胃=0

02

Using the double angle formula and factoring

Using the formula, we get

cos(2胃)+5cos胃+3=02cos2胃-1+5cos胃+3=02cos2胃+5cos胃+2=0(2cos胃+1)(cos胃+2)=02cos胃+1=0cos胃=-12cos胃+2=0cos胃=-2胃=2蟺3胃=4蟺3

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