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The equation sin x(sinx+cos x) = k has ...

The equation `sin x(sinx+cos x) = k` has real solutions, where k is a real number. Then

A

`1-sqrt(2) le a le 1+sqrt(2)`

B

`2-sqrt(3) le a le 2+sqrt(3)`

C

`0 le a le 2+sqrt(3)`

D

`(1-sqrt(2))/(2) le a le (1+sqrt(2))/(2)`

Text Solution

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The correct Answer is:
D
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