How do you find the 6 trigonometric functions at the angle $Θ = tan^(-1) (-5/12)$ ?

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How do you find the 6 trigonometric functions at the angle $Θ = tan^(-1) (-5/12)$ ?

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Answer 1 · 2017-02-13T15:06:18

Consider the right triangle OmM, with
horizontal side Om = 12
vertical side mM = -5
Hypotenuse $OM = sqrt(144 + 25) = sqrt169 = 13$
Call t --> the angle < mOM:
$sin t = - 5/13$
$cos t = 12/13$
$tan t = - 5/12$
$cot = - 12/5$
$sec t = 13/12$
$csc t = - 13/5$

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How do you find the 6 trigonometric functions at the angle $Θ = tan^(-1) (-5/12)$ ?

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How do you find the 6 trigonometric functions at the angle Θ = tan^(-1) (-5/12)Θ = tan^(-1) (-5/12)?

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How do you find the 6 trigonometric functions at the angle $Θ = tan^(-1) (-5/12)$ ?