If Sin x + cos x = a then | sin x - cos x | =1) √1-a square2) √a square -13) √2-a square4) √a square - 2

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manna · Answer

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....

aadi · Answer

sin^2x+cos^2x+2sinxcosx=a^2 sin^2x+cos^2x=a^2-2sinxcosx -2sinxcosx=sin^2x+cos^2x-a^2 (sinx-cosx)^2=2(sin^2x+cos^2x)-a^2 sinx-cosx=sqrt(2-a^2)

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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

If Sin x + cos x = a then | sin x - cos x | =1) √1-a square2) √a square -13) √2-a square4) √a square - 2

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