what is $\tan(b)$?
$\tan(b) = \frac{?}{}$
hint: remember sohcahtoa.

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Trigonometric Ratios", "Right Triangle Trigonometry", "Tangent Ratio" ], "current_concepts": [ "Trigonometric Ratios", "Right Triangle Trigonometry", "Tangent Ratio" ] } ## Identify the sides relative to angle B $$ \begin{aligned} &\text{Opposite side} = 4 \ &\text{Adjacent side} = 5 \ &\text{Hypotenuse} = \sqrt{41} \end{aligned} $$ ## Apply the tangent ratio formula $$ \tan(B) = \frac{\text{Opposite}}{\text{Adjacent}} $$ ## Calculate the final value $$ \tan(B) = \frac{4}{5} $$ What is $\tan(B)$? $\tan(B) =$ $\frac{4}{5}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Trigonometric Ratios" ] }

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Question

Explanation:

Identify the sides relative to angle B

Apply the tangent ratio formula

Calculate the final value

Answer: