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18 January, 01:53

Find sinФ if cosФ = √17/9

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  1. 18 January, 02:10
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    8/9.

    Step-by-step explanation:

    We can use the following trig identity to do this:

    cos^2 Ф + sin^2 Ф = 1

    sin^2 Ф = 1 - cos^2 Ф

    = 1 - (√17/9) ^2

    = 1 - 17/81

    = 81/81 / 17/81

    = 64/81

    So sin Ф = √ (64/81)

    = 8/9 (answer).
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