Answer
sin: $\frac{5}{\sqrt 60}$
cos: $\frac{7}{\sqrt 60}$
tan: $\frac{5}{7}$
csc: $\frac{\sqrt 60}{5}$
sec: $\frac{\sqrt 60}{7}$
cot: $\frac{7}{5}$
Work Step by Step
The basic functions are:
$sin=\frac{opp}{hyp}$
$cos=\frac{adj}{hyp}$
$tan=\frac{opp}{adj}$
$csc=\frac{hyp}{opp}$
$sec=\frac{hyp}{adj}$
$cot=\frac{adj}{opp}$
Your opposite is 5 (opposite is directly across from the angle).
Your adjacent is 7 (adjacent is right next to the angle).
To find the missing side, using the pythagorean theorem. $(5^2 + 7^2 = c^2)$/$(74=c^2)$/$(c=\sqrt 74)$
