Question

Find the value of each trigonometric ratio

Answer 1

№3

$\sin C = \frac{AB}{AC} = \frac{27}{45} = \frac{3 * 9}{5 * 9} = \frac{3}{5}$

Answer: D (3/5).

№4

$\cos A = \frac{AB}{AC} = \frac{24}{30} = \frac{3 * 4 * 2}{3 * 5 * 2} = \frac{4}{5}$

Answer: C (4/5).

№5

$\tan C = \frac{AB}{BC} = \frac{32}{24} = \frac{2 * 2 * 2 * 4}{2 * 2 * 2 * 3} = \frac{4}{3}$

Answer: D (4/3).

Answer 2

Answer:

3.) Sin C = option D, $\frac{3}{5}$

4.) Cos A = option C, $\frac{4}{5}$

5.) Tan C = Option D, $\frac{4}{3}$

Step-by-step explanation:

3.) Sin C = $\frac{opposite}{hypotenuse} = \frac{27}{45} = \frac{3}{5}$

4.) Cos A = $\frac{adjacent}{hypotenuse} = \frac{24}{30} = \frac{4}{5}$

5.) Tan C = $\frac{opposite}{adjacent} = \frac{32}{24} = \frac{4}{3}$

Hope this helps!