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2 July, 16:21

Given that sin 59 ≈ 0.857, enter the cosine of a complementary angle.

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  1. 2 July, 16:32
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    The cosine of a complementary angle is cos (90° - 59°) ≈ 0.857.

    Solution:

    Given that sin 59° ≈ 0.857.

    To find the cosine of a complementary angle.

    If two angles are complementary means, their sum is add up to 90°.

    Complementary angle of 59° is (90° - 59° = 31°).

    We know that,

    The sine of any acute angle is equal to the cosine of the complementary angle.

    That is sinθ = cos (90 - θ).

    ⇒ sin 59° = cos (90° - 59°)

    ≈ 0.857

    Therefore the cosine of a complementary angle is cos (90° - 59°) ≈ 0.857.
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