SOLUTION: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.) cos(2θ) + sin2(θ) = 0

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Question 1054639: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.)
cos(2θ) + sin2(θ) = 0
Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
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Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.)
cos(2θ) + sin2(θ) = 0
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

     What is  ?   Is it  ?

     You use so complicated terminology and are not able to write the equation in an unambiguous way?
     I see a disproportion in it.


OK, I will assume that the equation is 

 = 0.

Use the double-angle formula   =   and replace   by  .

Then you will get   = .

Thus the original equation takes the form

 +  = 0,  or

 = 1,  or

 = +/-1.

Answer.   = ,  k = 0, +/-1, +/-2, . . .


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