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

```

6 years ago

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```										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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6 years ago

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