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10 January, 23:14

If sin 18° = 0.3090, cos 18° = 0.9511, sin 22° = 0.3746, and

cos 22° = 0.9272, then what is sin 40°?

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Answers (1)
  1. 10 January, 23:18
    0
    0.6428

    Step-by-step explanation:

    Using the addition formula for sine

    sin (x + y) = sinxcosy + cosxsiny

    Hence

    sin40 = sin (18 + 22)

    = sin18cos22 + cos18sin22

    = (0.3090 * 0.9272) + (0.9511 * 0.3746)

    = 0.2865 + 0.3563

    = 0.6428
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