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Sanchit Gupta Grade: 12
        

If the eqn sinx. (sinx + cosx) = k has real solution then , then find the range of k.


 


 

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

dear Sanchit


sinx. (sinx + cosx) = k


sin2x+sinx cosx=k


1/2- cos2x/2 +sin2x/2 =k


sin2x -cos2x=2k-1


 for real solution


-√2  ≤2k-1 ≤  √2   


(1-√2)/2  ≤k ≤ (1+ √2)/2




   
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Badiuddin


                


 

7 years ago
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