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6 January, 09:46

In a right triangle, the sine of an angle is 0.226. What is the cosine of the same angle?

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  1. 6 January, 10:09
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    about 0.974

    Step-by-step explanation:

    The Pythagorean theorem tells you the other leg of the right triangle is ...

    cos (angle) = √ (1 - sin (angle) ²) = √ (1 - 0.051076) = √0.948924

    cos (angle) ≈ 0.974127 ≈ 0.974

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    You can use your calculator to find the angle, then its cosine:

    cos (angle) = cos (arcsin (0.226)) ≈ 0.974

    You don't need to know the angle, and it doesn't matter whether it is in radians or degrees. (It is about 13.06° or 0.2280 radians.)
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