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If $\sin x+\cos x=a$, then
(i) $\sin ^6 x+\cos ^6 x=$
(ii) $|\sin x-\cos x|=$
(i) $\sin ^6 x+\cos ^6 x=$
(ii) $|\sin x-\cos x|=$
Solution:
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Verified Answer
(i) $\frac{1}{4}\left[4-3\left(a^2-1\right)^2\right]$
(ii) $\sqrt{2-a^2}$.
(ii) $\sqrt{2-a^2}$.
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