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`        If 2 sin x / 1+sinx+ cos x = k then 1+sin x -cosx /1+sinx =                   1) 1/k2) k3)1-k4)1+k`
2 years ago Shashank Singh
57 Points
```							put sinx= 2 sinx/2 cosx/21+cosx = 2cos^2 x/2so the first expression becomes(4sinx/2cosx/2)/(2cos^2 x/2+ 2sinx/2cosx/2)on simplifying(2 sinx/2)/ (cosx/2+sinx/2)= k..........   (1)now in the second expression1-cos x= 2sin^2 x/2putting this in the expression we get(2sin^2 x/2+2sinx/2cosx/2)/( cos^2 x/2 + sin^2 x/2 + 2sinx/2cosx/2)now by simplifying this we get2sinx/2(sinx/2+cosx/2)/(sinx/2+cosx/2)^2= 2sinx/2/ (cosx/2+sinx/2)...............  (2)on comparing (1) and (2), we get(1+sinx-cosx)/(1+sinx)= kso the correct option is (2) K...........  [ans]
```
2 years ago
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