The image shows the following:
- adjacent = 6
- opposite = 8 (use Pythagorean Theorem)
- hypotenuse = 10
adjacent² + opposite² = hypotenuse²
6² + opposite² = 10²
36 + opposite² = 100
opposite² = 64
opposite = 8
sin = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8}{10}[/tex] = [tex]\frac{4}{5}[/tex] reduced
cos = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex] reduced
tan = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex] reduced
csc = [tex]\frac{hypotenuse}{opposite}[/tex] = [tex]\frac{10}{8}[/tex] = [tex]\frac{5}{4}[/tex] reduced
sec = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{10}{6}[/tex] = [tex]\frac{5}{3}[/tex] reduced
cot = [tex]\frac{adjacent}{opposite}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex] reduced
