if tanA=2/3 then find all other trigonometric ratios
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Answer:
(AC)^2=(AB)^2+(BC)^2
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Step-by-step explanation:
tan A =
2/3
opposite side / adjacent side =
:
By Pythagorean Theorem,
AC2 = AB2 + BC2
AC2 = 32 +22
AC2 = 9+4
AC2 = 13
AC = V13
Then,
sin A = opposite side / hypotenuse =
BC/ AC = 2//13
cos A = adjacent side / hypotenuse
AB/AC = 3/V13
csc A = 1/ sin A = V13/2
sec A 1/cos A = v13/3
cot A = 1/tan A = 3/2
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