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10-05-2017
Mathematics

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Find tan theta if sec theta= 5/3

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mreijepatmat mreijepatmat

10-05-2017

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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