If Sin x + cos x = a then | sin x - cos x | =1) √1-a square2) √a square-13) √2-a square4) √a square- 2
Vyanktesh Kulkarni , 7 Years ago
Grade 8
Trigonometry> If Sin x + cos x = a then | sin x - cos x...
2 Answers
manna
Last Activity: 7 Years ago
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
Last Activity: 7 Years ago
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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