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If Sin x + cos x = a then | sin x - cos x | =1) √1-a square2) √a square -13) √2-a square4) √a square - 2
sinx+cosx=atake a sqr both side(sinx+cosx)^2=a^2sin^2x+cos^2x+2sinx*cosx=a^2------------------(a+b)^2=a^2+b^2+2ab1+2sinx*cosx=a^2--------------------------sin^2x+cos^2x=1sin2x=a^2-1now i would encourage you to do it yourself onwords.....show your work....
sin^2x+cos^2x+2sinxcosx=a^2sin^2x+cos^2x=a^2-2sinxcosx-2sinxcosx=sin^2x+cos^2x-a^2(sinx-cosx)^2=2(sin^2x+cos^2x)-a^2sinx-cosx=sqrt(2-a^2)
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