find the value of each trigonometric ratio.

1) $\tan c$

a) $\frac{35}{37}$
b) $\frac{12}{37}$
c) $\frac{35}{12}$
d) $\frac{12}{35}$

Question

find the value of each trigonometric ratio.

1) $\tan c$

a) $\frac{35}{37}$
b) $\frac{12}{37}$
c) $\frac{35}{12}$
d) $\frac{12}{35}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Right Triangles", "Trigonometric Ratios" ], "new_concepts": [ "Tangent Function" ], "current_concepts": [ "Right Triangles", "Trigonometric Ratios", "Tangent Function" ] } ## Identify the sides relative to angle C $$ \begin{aligned} &\text{Opposite side } (AB) = 12\ &\text{Adjacent side } (BC) = 35\ &\text{Hypotenuse } (AC) = 37 \end{aligned} $$ ## Apply the tangent ratio formula $$ \tan C = \frac{\text{Opposite}}{\text{Adjacent}} = \frac{12}{35} $$

A) $\frac{35}{37}$

B) $\frac{12}{37}$

C) $\frac{35}{12}$

D) $\frac{12}{35}$

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

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QUESTION IMAGE

Question

Explanation:

Identify the sides relative to angle C

Apply the tangent ratio formula

Answer: