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f(x)=sin2x+cos2x
=√2sin(2x+π/4)
f(a/2)=√2sin(a+π/4)=√2/2
sin(a+π/4)=1/2
a+π/4∈(π/4,5π/4),
a+π/4=5π/6
a=7π/12
sina=sin(π/4+π/3)
=sin(π/4)cos(π/3)+cos(π/4)sin(π/3)
sina=(√6+√2)/4
=√2sin(2x+π/4)
f(a/2)=√2sin(a+π/4)=√2/2
sin(a+π/4)=1/2
a+π/4∈(π/4,5π/4),
a+π/4=5π/6
a=7π/12
sina=sin(π/4+π/3)
=sin(π/4)cos(π/3)+cos(π/4)sin(π/3)
sina=(√6+√2)/4
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