Question

find the value of each trigonometric ratio.

1. \\(\sin x\\)

a) \\(\frac{24}{25}\\)
b) \\(\frac{7}{24}\\)
c) \\(\frac{7}{25}\\)
d) \\(\frac{25}{7}\\)

Explanation:

Identify the sides relative to angle X

$$
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$$

Apply the sine ratio formula

$$ \sin X = \frac{\text{Opposite}}{\text{Hypotenuse}} = \frac{48}{50} $$

Simplify the fraction

$$ \sin X = \frac{48 \div 2}{50 \div 2} = \frac{24}{25} $$

Answer:

• (A) \(\frac{24}{25}\) (Correct answer)
• (B) \(\frac{7}{24}\)
• (C) \(\frac{7}{25}\)
• (D) \(\frac{25}{7}\)