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Question #73fb6

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Jan 31, 2017

#sin(x/2)=1-cosx#

#=>sin(x/2)=2sin^2(x/2)#

#=>sin(x/2)-2sin^2(x/2)=0#

#=>sin(x/2)(1-2sin(x/2))=0#

when #sin(x/2)=0=sin0#

#=>x/2==npi" where " n in ZZ#

#=>x=2npi#

when #1-2sin(x/2)=0#

#=>sin(x/2)=1/2=sin(pi/6)#

#=>x/2==npi+(-1)^npi/6" where " n in ZZ#

#=>x=2npi+(-1)^npi/3#

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