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raman malik Grade: 12
        

if the expression [sin(x/2) + cos(x/2) - itan(x/2)]/{1+i2sin(x/2)} is real, then the set of all possible values of x is _________

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear raman


[sin(x/2) + cos(x/2) - itan(x/2)]/{1+i2sin(x/2)}


multiple 1-21sin(x/2)  in nominator and denomenator and equate coefficient of i to zero


-tanx/2 -2sinx/2(sinx/2 +cosx/2) =0


or sinx/2 ( 1+ 2cosx/2((sinx/2 +cosx/2)) =0


 or sinx/2(2+sinx/2 +cosx/2)=0


 term in the bracket can not equal to zero


so sinx/2 =0


 x/2 =n∏


x=2n∏  for n any intiger





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Badiuddin

7 years ago
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