The value of ' \( a \) ' for which the equation \( \sin x(\sin x \)...

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The value of ' \( a \) ' for which the equation \( \sin x(\sin x \) \( +\cos x)=a \) has a real solution are
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W)
(a) \( 1-\sqrt{2} \leq a \leq 1+\sqrt{2} \)
(b) \( 2-\sqrt{3} \leq a \leq 2+\sqrt{3} \)
(c) \( 0 \leq a \leq 2+\sqrt{3} \)
(d) \( \frac{1-\sqrt{2}}{2} \leq a \leq \frac{1+\sqrt{2}}{2} \)
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