question 2 of 40

what is $\sin 23^\circ$?

a. $\frac{5}{13}$
b. $\frac{12}{13}$
c. $\frac{5}{12}$
d. $\frac{12}{5}$

Question

question 2 of 40

what is $\sin 23^\circ$?

a. $\frac{5}{13}$
b. $\frac{12}{13}$
c. $\frac{5}{12}$
d. $\frac{12}{5}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Trigonometric Ratios", "Sine Ratio" ], "current_concepts": [ "Trigonometric Ratios", "Sine Ratio", "Right Triangle Trigonometry" ] } ## Identify the side lengths relative to the angle $23^\circ$ $$ \begin{aligned} &\text{Opposite} = 5 \ &\text{Adjacent} = 12 \ &\text{Hypotenuse} = 13 \end{aligned} $$ ## Apply the sine ratio formula $$ \sin(\theta) = \frac{\text{Opposite}}{\text{Hypotenuse}} $$ ## Substitute the values to find $\sin 23^\circ$ $$ \sin 23^\circ = \frac{5}{13} $$

(A) $\frac{5}{13}$

(B) $\frac{12}{13}$

(C) $\frac{5}{12}$

(D) $\frac{12}{5}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Right Triangle Trigonometry" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the side lengths relative to the angle \(23^\circ\)

Apply the sine ratio formula

Substitute the values to find \(\sin 23^\circ\)

Answer: