Question

find the value of each trigonometric ratio.

1. \\(\tan x\\)

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

Explanation:

Identify the sides relative to angle X

$$
LATEXBLOCK0
$$

Apply the tangent ratio formula

$$ \tan X = \frac{\text{Opposite}}{\text{Adjacent}} = \frac{24}{32} $$

Simplify the fraction

$$ \tan X = \frac{24 \div 8}{32 \div 8} = \frac{3}{4} $$

Answer:

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