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If "sin" x + "sin"^(2) x = 1 show that: ...

If `"sin" x + "sin"^(2) x = 1` show that:
`cos^(4)x + cos^(2)x = 1`
(ii) If `"sin" x + cos x =sqrt(2) cos x` show that:
`sqrt2 sin x = cos x - sin x`

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