Answer
Answer
The other ratios:
$tan: \frac{5}{12}$
$sin: \frac{5}{13}$
$csc: \frac{13}{5}$
$sec: \frac{13}{12}$
$cot: \frac{12}{5}$
Work Step by Step
We are given $cos$ and $cos=\frac{adj}{hyp}$
12 must be our adjacent, and 13 is our hypotenuse.
We are to use the pythagorean theorem to find our missing side.
$a^2+12^2+13^2$
$a^2+144=169$
$a^2=25$
Take the square root and your answer is 5. 5 is the opposite side.
The formulas for each:
$tan: \frac{opp}{adj}$
$sin: \frac{opp}{hyp}$
$csc: \frac{hyp}{opp}$
$sec: \frac{hyp}{adj}$
$cot: \frac{adj}{opp}$
