question 22 of 40

the ratio $\frac{\text{adjacent}}{\text{hypotenuse}}$ describes which function?

a. cosine
b. secant
c. sine
d. tangent

Question

question 22 of 40

the ratio $\frac{\text{adjacent}}{\text{hypotenuse}}$ describes which function?

a. cosine
b. secant
c. sine
d. tangent

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Trigonometric Ratios" ], "new_concepts": [], "current_concepts": [ "Trigonometric Ratios", "Cosine Ratio" ] } ## Identify the given trigonometric ratio $$ \text{Ratio} = \frac{\text{adjacent}}{\text{hypotenuse}} $$ ## Recall definitions of basic trigonometric functions $$ \begin{aligned} \sin(\theta) &= \frac{\text{opposite}}{\text{hypotenuse}} \ \cos(\theta) &= \frac{\text{adjacent}}{\text{hypotenuse}} \ \tan(\theta) &= \frac{\text{opposite}}{\text{adjacent}} \end{aligned} $$ ## Match the given ratio to the correct function $$ \frac{\text{adjacent}}{\text{hypotenuse}} = \cos(\theta) \implies \text{Cosine} $$

A. Cosine

B. Secant

C. Sine

D. Tangent

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Trigonometric Ratios" ] }

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Question

Explanation:

Identify the given trigonometric ratio

Recall definitions of basic trigonometric functions

Match the given ratio to the correct function

Answer: