Question

9/20
give the ratio for sin x
opp/adj
adj/opp
adj/hyp
opp/hyp

Explanation:

Step1: Recall trigonometric ratio definitions

In a right - triangle, for an acute angle \(X\), \(\sin X=\frac{\text{opposite side}}{\text{hypotenuse}}\) (abbreviated as \(\text{Opp/hyp}\)).

Step2: Analyze each option

• Option A: \(\frac{\text{opp}}{\text{adj}}\) is the definition of \(\tan X\).
• Option B: \(\frac{\text{adj}}{\text{opp}}\) is the reciprocal of \(\tan X\) (\(\cot X\)).
• Option C: \(\frac{\text{adj}}{\text{hyp}}\) is the definition of \(\cos X\).
• Option D: \(\frac{\text{opp}}{\text{hyp}}\) is the correct definition of \(\sin X\).

Answer:

D. Opp/hyp