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Question
If tan = 0.75, find the other trigonometric ratios for A.
Solution
tan A = 0.75 = `(75)/(100) = (3)/(4) = "Perpendicular"/"Base"`
Hypotenuse
= `sqrt(("Perpendicular")^2 + ("Base")^2`
= `sqrt(3^2 + 4^2)`
= `sqrt(9 + 16)`
= `sqrt(25)`
= 5
sin A = `"Perpendicular"/"Hypotenuse" = (3)/(5)` = 0.6
cos A = `"Base"/"Hypotenuse" = (4)/(5)` = 0.8
cosecA = `(1)/"sin A" = (5)/(3)` = 1.66
sec A = `(1)/"cos A" = (5)/(4)` = 1.25
cost A = `(1)/"tan A" = (4)/(3)` = 1.33.
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