Question #33724

1 Answer
P dilip_k
Dec 19, 2017

#cos(3x/2)*(sinx+sqrt(2)*cosx)=sin3x#

#=>cos((3x)/2)(sinx+sqrt(2)cosx)-sin3x=0#

#=>cos((3x)/2)(sinx+sqrt(2)cosx)-2sin((3x)/2)cos((3x)/2)=0#

#=>cos((3x)/2)(sinx+sqrt(2)cosx-2sin((3x)/2))=0#

So #cos((3x)/2)=0#

#=>(3x)/2=(2n+1)pi/2" where " ninZZ#

#=>x=(2n+1)pi/3" where " ninZZ#

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