@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_identity a math:Concept ;
    rdfs:label "삼각함수 사이의 관계"@ko ;
    skos:definition "tan θ = sin θ / cos θ, sin²θ + cos²θ = 1처럼 같은 각에 대한 삼각함수 사이에 항상 성립하는 관계이다. 이로부터 1 + tan²θ = 1/cos²θ도 성립한다."@ko ;
    skos:editorialNote "2026-09-28 개념 모델 정비에서 2022 개정 교육과정 성취기준을 근거로 추가했다. 도메인 전문가 검토가 필요하다."@ko,
        "2026-09-28 대수 온톨로지 정비: GRIP 대수 개념서와 시발점 워크북 대수를 참고해 정의를 교육과정 수준에 맞게 구체화했다. 도메인 전문가 검토가 필요하다."@ko ;
    skos:inScheme scheme:concepts ;
    skos:prefLabel "relations between trigonometric functions"@en,
        "삼각함수 사이의 관계"@ko ;
    skos:topConceptOf scheme:concepts ;
    math:introducedIn course:algebra ;
    math:requires concept:trigonometric_function ;
    math:requiresTransitively concept:angle,
        concept:circular_sector,
        concept:coordinate_plane,
        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:square_root,
        concept:triangle_congruence,
        concept:triangle_similarity,
        concept:trigonometric_function,
        concept:trigonometric_ratio ;
    math:reviewStatus review_status:needs_review ;
    math:sourceSection textbook_section:grip_algebra_05_08_trigonometric_identities,
        textbook_section:grip_algebra_05_09_sin_cos_sum_product,
        textbook_section:grip_algebra_05_11_equally_spaced_angles,
        textbook_section:national_curriculum_2022_algebra_trigonometric_functions,
        textbook_section:sibaljeom_workbook_algebra_theme14_trigonometric_definition ;
    math:taughtIn course:algebra .