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Question

In a quadrilateral ABCD if sin(A+B2)cos(AB2)+sin(C+D2)cos(CD2)=2 then cosA2cosB2 is equal to


A
0
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B
6
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C
3
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D
2
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Solution

The correct option is C 3

sinA+B2.cosAB2+sinC+D2.cosCD2=2
sinA+sinB+sinC+sinD=4
sinA=sinB=sinC=sinD=1
A=900=B=C=D
Now cosA2cosB2=6×(12)2=3


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