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31 October, 23:36

Find tan theta if sec theta = 5/3

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  1. 31 October, 23:43
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    SecФ = 5/3

    1/cosФ = 5/3 = = > cosФ=3/5 & we know sin²Ф+cos²Ф = 1

    sin²Ф+9/25=1==>sin²Ф=1-9/25 = 16/25 & sinФ=4/5

    tanФ=sinФ/cosФ = (4/5) / (3/5) = 4/5 x 5/3 = 4/3==> tanФ=5/3 = 1.667
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