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2 October, 17:14

If sin θ = 2 over 7 and tan θ > 0, what is the value of cos θ?

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  1. 2 October, 17:15
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    Sin θ = 2 / 7

    tan θ > 0

    cos θ = ?

    sin θ = opposite / hypotenuse

    tan θ = opposite / adjacent

    cos θ = adjacent / hypotenuse

    short leg = opposite = 2

    hypotenuse = 7

    long leg = adjacent = ?

    adjacent = √ (7² - 2²)

    adjacent = √ (49 - 4)

    adjacent = √45

    adjacent = √9 * 5

    adjacent = 3 √5

    cos θ = adjacent / hypotenuse

    cos θ = 3√5 / 7
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