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Question
If sin θ = `(8)/(17)`, find the other five trigonometric ratios.
Solution
sin θ = `(8)/(17) = "Perpendicular"/"Hypotenuse"`
Base
= `sqrt(("Hypotenuse")^2 - ("Perpendicular")^2`
= `sqrt(17^2 - 8^2)`
= `sqrt(225)`
= 15
cos θ = `"Base"/"Hypotenuse" = (15)/(17)`
tan θ = `"Perpendicular"/"Base" = (8)/(15)`
cosecθ = `(1)/"sin θ" = (17)/(8)`
sec θ = `(1)/"cos θ " = (17)/(15)`
cot θ = `(1)/"tan θ " = (15)/(8)`.
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