Question

PLEASE HELP ME QUESTION 7

Answer 1

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 = $\frac{opposite}{hypotenuse}$ = $\frac{8}{10}$ = $\frac{4}{5}$ reduced

cos = $\frac{adjacent}{hypotenuse}$ = $\frac{6}{10}$ = $\frac{3}{5}$ reduced

tan = $\frac{opposite}{adjacent}$ = $\frac{8}{6}$ = $\frac{4}{3}$ reduced

csc = $\frac{hypotenuse}{opposite}$ = $\frac{10}{8}$ = $\frac{5}{4}$ reduced

sec = $\frac{hypotenuse}{adjacent}$ = $\frac{10}{6}$ = $\frac{5}{3}$ reduced

cot = $\frac{adjacent}{opposite}$ = $\frac{6}{8}$ = $\frac{3}{4}$ reduced