@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:related_angle_formulas a math:Concept ;
    rdfs:label "여러 가지 각에 대한 삼각함수의 성질"@ko ;
    skos:altLabel "삼각함수의 각의 변환"@ko,
        "삼각함수의 성질"@ko ;
    skos:broader concept:trigonometric_function ;
    skos:definition "2nπ + θ, −θ, π ± θ, π/2 ± θ에 대한 삼각함수의 값을 θ에 대한 삼각함수의 값으로 나타내는 성질이다. 예를 들어 sin(−θ) = −sin θ, cos(π − θ) = −cos θ, sin(π/2 + θ) = cos θ, tan(π + θ) = tan θ이다."@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 "trigonometric functions of related angles"@en,
        "여러 가지 각에 대한 삼각함수의 성질"@ko ;
    math:introducedIn course:algebra ;
    math:requires concept:symmetry_transformation,
        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:symmetry_transformation,
        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_10_related_angles,
        textbook_section:grip_algebra_05_11_equally_spaced_angles,
        textbook_section:grip_algebra_05_sp1_angle_transformation,
        textbook_section:sibaljeom_workbook_algebra_theme15_angle_transformation ;
    math:taughtIn course:algebra .