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Ask iit jee aieee pet cbse icse state board experts Expert Question: please find solution for this
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[Post New]8 Feb 2007 14:08:25 IST
    Subject: please find solution for this
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ramya786 (2)

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(cosa+cosb)whole square + (sina+sinb)whole square = kcos square (a-b/2) , when k= ___
    
[Post New]8 Feb 2007 14:17:08 IST
    Subject: Re:please find solution for this
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AAKRITI (228)

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its 2 , if its (a-b)/2
you have to run faster and faster so as to remain where you are.. even if you are on the right track you will get run over if you just keep sitting there...
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[Post New]8 Feb 2007 14:24:14 IST
    Subject: Re:please find solution for this
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vinu (524)

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k=4.
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[Post New]8 Feb 2007 14:27:01 IST
    Subject: Re:please find solution for this
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AAKRITI (228)

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sorry its 4 ( not a big deal )
you have to run faster and faster so as to remain where you are.. even if you are on the right track you will get run over if you just keep sitting there...
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[Post New]8 Feb 2007 14:56:19 IST
    Subject: Re:please find solution for this
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johri_anshuman (1188)

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(cosa+cosb)2+(sina+ sinb)2=kcos2(a-b)/2
 
LHS
={2cos(a+b)/2 cos(a-b)/2}2+{2sin(a+b)/2 cos(a-b)/2}2
=4cos2(a-b)/2{sin2(a+b)/2+cos2(a+b)/2}
=4cos2(a-b)/2
 
 
so k=4
~ANSHUMAN
I was born intellegent, education ruined me.
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[Post New]9 Feb 2007 19:41:08 IST
    Subject: Re:please find solution for this
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sudeep.kumar (611)

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Expanding the LHS, we get

2(1 + cosAcosB + sinAsinB) = 2(1 + cos(A-B)) = 4cos2((A-B)/2)

(using expansion cos2x = 2cos2x - 1)

so, k is 4.
Sudeep Kumar
(B tech, IITd)

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