Question

find the value of each trigonometric ratio.

1. \\(\sin z\\)

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

Explanation:

Identify the sides relative to angle Z

$$
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$$

Apply the sine ratio formula

$$ \sin Z = \frac{\text{Opposite}}{\text{Hypotenuse}} = \frac{21}{35} $$

Simplify the fraction

$$ \sin Z = \frac{21 \div 7}{35 \div 7} = \frac{3}{5} $$

Answer:

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