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a
2a
b
3a
c
4a
d
a
answer is D.
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Detailed Solution
1+cosx+sinx2sinx=1+cosx+sinx1-cosx+sinx2sinx1-cosx+sinx (multiply and divide by (1+cosx+sinx)) =1+sinx2-cos2x2sinx1-cosx+sinx =2sinx1+sinx2sinx1-cosx+sinx =1+sinx1-cosx+sinx =a