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18 October, 14:08

1. An acute angle _ is in a right triangle with cos _ = (5) / (6). What is the value of sec _?

2. An acute angle _ is in a right triangle with sin _ = (5) / (6). What is the value of cot _?"

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  1. 18 October, 17:50
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    1)

    Cosine = base / hypotenuse

    Secant = hypotenuse / base = 1/Cosine

    Sec = 1 / (5/6) = 6/5

    2)

    Sine = perpendicular / hypotenuse = 5/6

    hypotenuse² = base² + perpendicular²

    base = √ (6² - 5²)

    base = √11

    Cotangent = base / perpendicular

    = √11/5
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