Sinx. Cosx=1/2?

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Explanation:

Remember that #2sinxcosx=sin2x#

In our equation #sinxcosx=1/2# multiply by 2 both sides

#2sinxcosx=1#, then #sin2x=1#

Thus we have #2x=90º=pi/2+2kpi# because sinx is periodic

Finally we have #x=pi/4+kpi# where #k# is an integer