Question

Question #73fb6

Answer 1

`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`