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Question
In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
tan θ = 11
Sum
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Solution
tan θ = 11
We know that `tan theta = "Oppsited side"/"Hypotenuse" = 11/ sqrt122`
`cos theta = "adjacent side"/"Hypotenuse" = 1/sqrt122`
`cosec theta = 1/sin theta = (1/11)/sqrt122 = sqrt122/11`
`sec theta = 1/cos theta = (1/1)/sqrt122 = sqrt122`
`cot theta = 1/(tan theta) = 1/11 = 1/11`
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