Question

find the value of each trigonometric ratio. *

1. \\(\tan c\\)

a) \\(\frac{5}{3}\\)
b) \\(\frac{3}{5}\\)
c) \\(\frac{4}{5}\\)
d) \\(\frac{4}{3}\\)

Explanation:

Identify the sides relative to angle C

$$
LATEXBLOCK0
$$

Apply the tangent ratio formula

$$ \tan C = \frac{\text{Opposite}}{\text{Adjacent}} = \frac{28}{21} $$

Simplify the fraction

$$ \tan C = \frac{28 \div 7}{21 \div 7} = \frac{4}{3} $$

Answer:

• A) \(\frac{5}{3}\)
• B) \(\frac{3}{5}\)
• C) \(\frac{4}{5}\)
• D) \(\frac{4}{3}\) (Correct answer)