Question

If sinA = 0.8, find the other trigonometric ratios for A.

Answer 1

sinA = 0.8 = `(8)/(10) = (4)/(5) = "Perpendicular"/"Hypotenuse"`

Base
= `sqrt(("Hypotenuse")^2 - ("Perpendicular")^2`
= `sqrt(5^2 - 4^2)`
= `sqrt(25 - 16)`
= `sqrt(9)`
= 3

cos A = `"Base"/"Hypotenuse" = (3)/(5)` = 0.6

tan A = `"Perpendicular"/"Base" = (4)/(3)` = 1.33

cosecA = `(1)/"sin A" = (5)/(4)` = 1.25

sec A = `(1)/"cos A" = (5)/(3)` = 1.66

cot A = `(1)/"tan A" = (3)/(4)` = 0.75.