SOLUTION: the number of solutions in (0,2pi) satisfying the equation cos(2x)=1 is

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Question 985115: the number of solutions in (0,2pi) satisfying the equation cos(2x)=1 is
Answer by ikleyn(52880)   (Show Source): You can put this solution on YOUR website!

If   = ,  then   = or = .

The first equation   =  implies that   = .

The second equation   =  implies = = .

So,  you have two potentially fitted solutions:    and  .

I don't know if you include the zero to your interval.

Usually,  when the zero is included into the interval  (, ),  then it is denoted as  [, )  and is called as semi-segment.


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