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If sin A + cos A = p and sin^(3) A + cos...

If `sin A + cos A = p` and `sin^(3) A + cos^(3)` A = q, then which one of the following is correct ?

A

`p^(3) - 3p + q = 0`

B

`q^(3) - 3q + 2p = 0`

C

`p^(3) - 3p + 2q = 0`

D

`p^(3) + 3p + 2q = 0`

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