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22 April, 14:50

What are the values of cos α and tan α, if: sinα = 40/41

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  1. 22 April, 14:53
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    The answer to your question is:

    cos α = 9 / 41

    tan α = 40/9

    Step-by-step explanation:

    Data

    cos α = ?

    tan α = ?

    sin α = 40/41

    Process

    sin Ф = opposite side / hypotenuse

    then, if sin α = 40/41,

    opposite side = 40

    hypotenuse = 41

    Pythagorean theorem

    c² = a² + b²

    41² = 40² + b²

    b² = 41² - 40²

    b² = 1681 - 1600

    b² = 81

    b = 9

    adjacent side = 9

    Now,

    cosine Ф = adjacent side / hypotenuse

    cos α = 9 / 41

    tangent Ф = opposite side / adjacent side

    tan α = 40/9
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