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Mathematics 22 Online
OpenStudy (anonymous):

cos^3(theta)-4cos(theta)=0 find solutions in (0,2pi]

myininaya (myininaya):

cos(theta)*(cos^2(theta)-4)=0 cos(theta)=0 and cos^2(theta)=4

myininaya (myininaya):

cos(theat)=-2 cos(theta)=2 both of these happen just solve cos(theta)=0

OpenStudy (anonymous):

ok?

OpenStudy (anonymous):

so its just pi/2 and 3pi/2?

myininaya (myininaya):

yes cos(pi/2)=0 and cos(3pi/2)=0

OpenStudy (anonymous):

and ignore the cos(theta)=2?

myininaya (myininaya):

how can it be 2 when cos(x) stays between -1 and 1?

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