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19 September, 15:30

Simplify (sinx - cosx) (sinx + cosx)

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  1. 19 September, 15:59
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    [sin (x) - cos (x) ][sin (x) + cos (x) ]

    sin (x) [sin (x) + cos (x) ] - cos (x) [sin (x) + cos (x) ]

    sin (x) [sin (x) ] + sin (x) [cos (x) ] - cos (x) [sin (x) ] - cos (x) [cos (x) ]

    sin² (x) + sin (x) cos (x) - sin (x) cos (x) - cos² (x)

    sin² (x) - cos² (x)

    -cos (2x)
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