if sin^4 A + cos^4 A =1/2 then sinA -cosA
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(sin^2A+cos^2A)^2=sin^4A+cos^4A+2sin^2A.cos^2A
1=1/2+2sin^Acos^2A
sin^2A.cos^2A=1/4
sinA.cosA=1/2
(sinA-cosA)^2= sin^A+cos^2A+2sinA.cosA
=1+2(1/2)
=2
sinA-cosA=√2
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