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13 August, 13:54

Use a sum or difference identity to find exact value of sin 255.

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  1. 13 August, 14:22
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    Sin (x + y) = sin x cos y + cos x sin y

    sin 255

    = sin (210 + 45)

    = sin 210 cos 45 + cos 210 sin 45

    = (-1/2) (√ (2) / 2) + (-√ (3) / 2) (√ (2) / 2)

    = - √ (2) / 4 + (-√ (6) / 4)

    = - √ (2) / 4 - √ (6) / 4

    = (-√ (2) - √ (6)) / 4
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