sin(2a+π/4)
=sin2a*cos(π/4)+cos(2a)sin(π/4)
=(√2/2)*(sin2a+cos2a)
sin(2a+π/4)=(√2/2)(sin2a+cos2a)
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sin(2a+π/4)
=sin2acosπ/4+cosasinπ/4
=(√2/2)*(sin2a+cos2a)
=(√2/2)(2sinacosa+cos^2(a)-1)
=(√2/2)(2sinacosa+1-sin^2(a))
=(√2/2)(2sinacosa+cos^2(a)-sin^2(a))