Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

give the ratio for cos x; opp/adj; adj/opp; opp/hyp; adj/hyp

Question

give the ratio for cos x; opp/adj; adj/opp; opp/hyp; adj/hyp

Explanation:

Step1: Recall trigonometric ratio definitions

In a right - triangle, for an angle \(x\), \(\cos x=\frac{\text{Adjacent side}}{\text{Hypotenuse}}\) (by the definition of cosine in trigonometry).

Step2: Match with given options

Among the options:

  • Option A (\(\text{Opp}/\text{Adj}\)) is the definition of \(\tan x\).
  • Option B (\(\text{Adj}/\text{Opp}\)) is the reciprocal of \(\tan x\).
  • Option C (\(\text{Opp}/\text{Hyp}\)) is the definition of \(\sin x\).
  • Option D (\(\text{Adj}/\text{Hyp}\)) matches the definition of \(\cos x\).

Answer:

D. Adj/Hyp