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91Ó°ÊÓ

In Problems 79-90, find the exact value of each expression.

f(x)=cos(2x)+cosx

Short Answer

Expert verified

The real zeroes areπ,π3,5π3

Step by step solution

01

Given information

Given functionf(x)=cos(2x)+cosx

02

Rearranging and calculating the value

Rearranging, we get

f(x)=cos(2x)+cosxf(x)=2cos2x-1+cosx(cosx+1)(2cosx-1)=0cosx=-1cosx=12x=Ï€,Ï€3,5Ï€3

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