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24 August, 13:37

Find cos (x + y) if sin x = 5/13 and sin y = 4/6

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  1. 24 August, 14:07
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    According to the trigonometric identities, cos (x + y) = cos x cos y - sin x sin y. cos x = sin y and cos y = sin x via the complementary theorem. given the data, sin x = 5/13 and sin y = 4/6, then via substitution,

    cos (x+y) = 4/6 * 5/13 - 5/13 * 4/6 = 0.

    The answer hence is zero.
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