Q63. If sin x + cos x = a, then | sin x – cos x | = _______.
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sinx+cosx=a
take a sqr both side
(sinx+cosx)^2=a^2
sin^2x+cos^2x+2sinx*cosx=a^2------------------(a+b)^2=a^2+b^2+2ab
1+2sinx*cosx=a^2--------------------------sin^2x+cos^2x=1
sin2x=a^2-1
now i would encourage you to do it yourself onwords.....
show your work....
take a sqr both side
(sinx+cosx)^2=a^2
sin^2x+cos^2x+2sinx*cosx=a^2------------------(a+b)^2=a^2+b^2+2ab
1+2sinx*cosx=a^2--------------------------sin^2x+cos^2x=1
sin2x=a^2-1
now i would encourage you to do it yourself onwords.....
show your work....
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