100 POINTS AND BRAINILY

Answer:
Step-by-step explanation:
In a right-angled triangle, by definition:
sinX = opposite side / hypothesis
= 5/13
tanX = opposity side / adjacent side
= 5/12
cosX = adjacent side / hypothesis
= 12/13
[tex]\\ \rm\hookrightarrow sinX=\dfrac{Perpendicular}{Hypotenuse}=\dfrac{5}{13}[/tex]
[tex]\\ \rm\hookrightarrow cosX=\dfrac{Base}{Hypotenuse}=\dfrac{12}{13}[/tex]
[tex]\\ \rm\hookrightarrow tanX=\dfrac{sinX}{cosX}=\dfrac{5}{12}[/tex]