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If sinx+cosx=a, then (i) sin^(6)x+cos...

If `sinx+cosx=a`, then
(i) `sin^(6)x+cos^(6)x=.....`
(ii) `abs(sinx-cosx)=.....`

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To solve the given problem, we need to find the values of \( \sin^6 x + \cos^6 x \) and \( |\sin x - \cos x| \) given that \( \sin x + \cos x = a \). ### Step-by-Step Solution **Part (i): Finding \( \sin^6 x + \cos^6 x \)** 1. **Rewrite the expression**: \[ ...
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