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27 January, 01:06

Rewrite in terms of sin (x) and cos (x).

sin (x+[7pi/4])

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  1. 27 January, 02:48
    0
    using the addition formulae for sin

    • sin (x + y) = sinxcosy + cosxsiny

    sin (x + (7π/4))

    = sinx cos (7π/4) + cosxsin (7π/4)

    [ the related acute angle for 7π/4 is π/4 ]

    = sinxcos (π/4) + cosx ( - sin (π/4)

    = sinx * √2 / 2 - cosx * √2 / 2

    = √2 / 2 (sinx - cosx)
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