determine $\cos(a)$ and $\cos(b)$.

a) $\cos(a)$

b) $\cos(b)$

Question

determine $\cos(a)$ and $\cos(b)$.

a) $\cos(a)$

b) $\cos(b)$

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Trigonometric Ratios", "Right Triangle Trigonometry" ], "current_concepts": [ "Trigonometric Ratios", "Right Triangle Trigonometry" ] } ## Identificar los lados del triángulo rectángulo respecto al ángulo A $$ \begin{aligned} &\text{Hipotenusa } (c) = AB = 29\ &\text{Cateto adyacente a } A = AC = 21\ &\text{Cateto opuesto a } A = BC = 20 \end{aligned} $$ ## Calcular el coseno del ángulo A $$ \cos(A) = \frac{\text{Cateto adyacente}}{\text{Hipotenusa}} = \frac{21}{29} $$ ## Calcular el coseno del ángulo B $$ \begin{aligned} &\text{Cateto adyacente a } B = BC = 20\ &\cos(B) = \frac{\text{Cateto adyacente}}{\text{Hipotenusa}} = \frac{20}{29} \end{aligned} $$ ## Question 1 a) $\cos(A) = \frac{21}{29}$ ## Question 2 b) $\cos(B) = \frac{20}{29}$ { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Geometry", "Trigonometric Ratios" ] }

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QUESTION IMAGE

Question

Explanation:

Identificar los lados del triángulo rectángulo respecto al ángulo A

Calcular el coseno del ángulo A

Calcular el coseno del ángulo B

Answer:

Question 1

Question 2