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Answer: 12/13....Remember the shortcut SOH CAH TOA ——> sin = opposite/hypotenuse, cos = adjacent/hypotenuse, and tan = opposite/adjacent...know that for this problem tells you that cos = 5/13 and tan = 12/5 so thus sin = 12/13 (opposite = numerator of tan, hypotenuse = denominator of cos)

Answer:

[tex]\frac{12}{13}[/tex]

Step-by-step explanation:

Using the trigonometric identity

tan x = [tex]\frac{sinx}{cosx}[/tex] ( multiply both sides by cos x )

sin x = tan x × cos x, that is

sinΘ = tanΘ × cosΘ

       = [tex]\frac{12}{5}[/tex] × [tex]\frac{5}{13}[/tex] = [tex]\frac{12}{13}[/tex]

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