{"id":8579,"date":"2023-09-11T16:42:00","date_gmt":"2023-09-11T15:42:00","guid":{"rendered":"https:\/\/exos.education\/fr\/exercice-maths-trigonomie-niveau-seconde-precoces\/"},"modified":"2023-08-21T14:54:26","modified_gmt":"2023-08-21T13:54:26","slug":"exercice-maths-trigonomie-niveau-seconde-precoces","status":"publish","type":"post","link":"https:\/\/exos.education\/fr\/exercice-maths-trigonomie-niveau-seconde-precoces\/","title":{"rendered":"Exercice Maths Trigonomie Niveau Seconde Pr\u00e9coces"},"content":{"rendered":"

**Points importants du cours : Trigonom\u00e9trie**<\/p>\n

La trigonom\u00e9trie est l’\u00e9tude des relations entre les angles et les longueurs des c\u00f4t\u00e9s d’un triangle. En seconde, on se concentre sur le triangle rectangle et surtout sur la d\u00e9finition du sinus, du cosinus et de la tangente pour un angle aigu dans un tel triangle.<\/p>\n

\"1\ufe0f\u20e3\" Sinus d’un angle aigu \" : sin(a) = c\u00f4t\u00e9_oppos\u00e9 \/ hypot\u00e9nuse
\"2\ufe0f\u20e3\" Cosinus d’un angle aigu \" : cos(a) = c\u00f4t\u00e9_adjacent \/ hypot\u00e9nuse
\"3\ufe0f\u20e3\" Tangente d’un ange aigu \": tan(a) = sin(a)\/cos(a)<\/p>\n

—<\/p>\n

**Exercice de Trigonometrie pour \u00e9l\u00e8ves de Seconde – Facile**<\/p>\n

Voici une figure ci-dessousABC est un triangle rectangle en B.<\/p>\n

AB=4 cm
BC=3 cm<\/p>\n

1. Calculer sin(A)cos(A) et tan(A).
2. Calculer sin(B)cos(B) et tan(B).<\/p>\n

Rappel – dans ce contexte :
sin(angle) = c\u00f4t\u00e9_oppos\u00e9\/hypoth\u00e9nuse
cos(angle)=c\u00f4t\u00e9_adjacent\/hypoth\u00e9nuse
tan(angle)=c\u00f4t\u00e9_oppos\u00e9\/c\u00f4t\u00e9_adjacent<\/p>\n

—<\/p>\n

**Correction**<\/p>\n

1. Pour l’angle A:<\/p>\n

– sin(A)=BC\/AC=3\/5=0.6 \"
– cos(A)=BA\/AC=4\/5=0.8 \"
– tan(A)=BC\/BA=3\/4=0.75 \"<\/p>\n

2.Pour l’angle B:<\/p>\n

– sin(B)=BA\/AC = 4cm \/ 5cm =0 .8 \"
– cos(B)= BC \/ AC Alors3 cm \/ 5cm \u2248 \u03bf .6\"
-tan (B ) \u2208 BA I BC so i t g\u03b9v\u03b5s us s o m etc hing \u2370i\u03ba\u03b5 \u03bf .8 I o .6 \u2245\u0399 \u00b7\u2083\u2084 <\/p>\n

Cet exercice est adapt\u00e9e aux \u00e9l\u00e8ves pr\u00e9coces car il demande l’utilisation des formules de base en trigonom\u00e0trie qui sont g\u00e9n\u00e9ralement facilement assimil\u00e9es par ces enfants \u00e0 haut potentiel\"\u2728\" C’est \u00e9galement une bonne occasion pour eux de pratiquer leur autonomie gr\u00e2ce \u00e0 l’auto- \u00e9valuation int\u00e9gr\u00e9e dans le processus\"<\/p>\n","protected":false},"excerpt":{"rendered":"

**Points importants du cours : Trigonom\u00e9trie** La trigonom\u00e9trie est l’\u00e9tude des relations entre les angles et les longueurs des c\u00f4t\u00e9s d’un triangle. En seconde, on se concentre sur le triangle rectangle et surtout sur la d\u00e9finition du sinus, du cosinus et de la tangente pour un angle aigu dans un tel triangle.<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[54,7,27,6,5,4,1],"tags":[],"class_list":["post-8579","post","type-post","status-publish","format-standard","hentry","category-2nde","category-mathematiques","category-precoces","category-accessibilite","category-niveaux","category-matieres","category-exercices-pedagogiques-imprimables-et-gratuits"],"_links":{"self":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8579","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/comments?post=8579"}],"version-history":[{"count":0,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8579\/revisions"}],"wp:attachment":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/media?parent=8579"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/categories?post=8579"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/tags?post=8579"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}