prove:2sin 2 x/2 = 1- cos x
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cos x = cos²x/2 - sin² x/2 since cos 2A = cos²A - sin² A
cos x = 1- sin²x/2 - sin² x/2
cos x= 1 -2 sin²x/2
therfore
2sin² x/2 = 1-cosx
cos x = 1- sin²x/2 - sin² x/2
cos x= 1 -2 sin²x/2
therfore
2sin² x/2 = 1-cosx
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