@prefix concept: <https://w3id.org/kmath/concept/> .
@prefix course: <https://w3id.org/kmath/course/> .
@prefix math: <https://w3id.org/kmath/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix review_status: <https://w3id.org/kmath/review_status/> .
@prefix scheme: <https://w3id.org/kmath/scheme/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix textbook_section: <https://w3id.org/kmath/textbook_section/> .

concept:trigonometric_graph_symmetry a math:Concept ;
    rdfs:label "삼각함수의 그래프의 대칭성"@ko ;
    skos:broader concept:trigonometric_function ;
    skos:definition "n이 정수일 때 y = sin x의 그래프는 직선 x = π/2 + nπ에 대하여, y = cos x의 그래프는 직선 x = nπ에 대하여 대칭이고, y = tan x의 그래프는 점 (nπ/2, 0)에 대하여 대칭이다. 그래서 직선 y = k와 한 대칭축 양쪽에서 만나는 두 교점의 x좌표의 평균은 그 대칭축의 x좌표와 같다."@ko ;
    skos:editorialNote "2026-09-28 GRIP 대수 개념서와 시발점 워크북 대수가 독립된 학습 항목으로 다루는 것을 근거로 추가했다. 도메인 전문가 검토가 필요하다."@ko ;
    skos:inScheme scheme:concepts ;
    skos:prefLabel "symmetry of the graphs of trigonometric functions"@en,
        "삼각함수의 그래프의 대칭성"@ko ;
    math:introducedIn course:algebra ;
    math:requires concept:cosine_function,
        concept:sine_function,
        concept:symmetry_transformation,
        concept:tangent_function ;
    math:requiresTransitively concept:angle,
        concept:circular_sector,
        concept:coordinate_plane,
        concept:cosine_function,
        concept:direct_proportion,
        concept:function,
        concept:general_angle,
        concept:geometric_construction,
        concept:graph,
        concept:integer,
        concept:inverse_proportion,
        concept:parallel_line_property,
        concept:polygon_property,
        concept:positional_relation,
        concept:power,
        concept:pythagorean_theorem,
        concept:radian_measure,
        concept:rational_number,
        concept:similarity,
        concept:sine_function,
        concept:square_root,
        concept:symmetry_transformation,
        concept:tangent_function,
        concept:triangle_congruence,
        concept:triangle_similarity,
        concept:trigonometric_function,
        concept:trigonometric_ratio ;
    math:reviewStatus review_status:needs_review ;
    math:sourceSection textbook_section:grip_algebra_06_06_symmetry_periodicity,
        textbook_section:sibaljeom_workbook_algebra_theme16_trigonometric_graphs,
        textbook_section:sibaljeom_workbook_algebra_theme19_trigonometric_equations_inequalities ;
    math:taughtIn course:algebra .