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OpenStudy (anonymous):
cos(x+45)+cos(x-45)=sqrt2
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OpenStudy (anonymous):
use the sum and different identities. cos(alpha+beta) and cos(alpha-beta)
OpenStudy (anonymous):
(cosxcos45-sinxsin45)+(cosxcos45+sinxsin45)=sqrt2 2cosxcos45=sqrt2 cosxcos45=sqrt2/2 (sqrt2/2)cosx=sqrt2/2 cosx=1 x=arccos1=0
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