9_sinf_algebra_42_burchakning_sinusi,_kosinusi,_tangensi_va_kotangensi
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Прокрутите вниз 👇![@dars_ishlanma_yangi fan: matematika sinf: 9- __ sana: [bookmark: _goback]__-§. burchakning sinusi,kosinusi,tangensi va kotangensi ta'riflari mavzu burchakning sinusi,kosinusi,tangensi va kotangensi ta'riflari . maqsad va vazifalar darsning maqsadi: o’quvchilarga burchakning sinusi, kosinusi, tangensi va kotangensi ta’riflari haqida ma`lumot berish. darsning ta’limiy vazifasi: o‘quvchilarga burchakning sinusi, kosinusi, tangensi va kotangensi ta’riflari haqida bilim berish va ulardan foydalanish ko’nikmasini hosil qilish. darsning tarbiyaviy vazifasi: o’quvchilarni yangi bilimlar egallashga va tartib-intizomga doimo rioya etishga hamda o`qituvchilik kasbiga yo’naltirish. darsning rivojlantiruvchi vazifasi: o‘quvchilarning kompyuterdan foydalanish haqidagi bilim va tasavvurlarini kengaytirish. o‘quv jarayonining mazmuni burchakning sinusi, kosinusi, tangensi va kotangensi ta’riflarining xossalari. o‘quv jarayonini amalga oshirish texnologiyasi uslub: aralash shakl: savol-javob. jamoa va kichik gruhlarda ishlash. vosita: elektron resurslar, darslik, plakatlar; tarqatma materiallar. usul: tayyor prezentatsiya va slayd materiallari asosida. nazorat: og‘zaki, savol-javob, muhokama, kuzatish. baholash: rag‘batlantirish, 5 ballik reyting tizimi asosida. kutiladigan natijalar o’quvchilar yangi bilim va ko’nikmaga ega bo’ladi. ularga burchakning sinusi, kosinusi, tangensi va …](/media/previews/pages/p1_293386.webp "9_sinf_algebra_42_burchakning_sinusi,_kosinusi,_tangensi_va_kotangensi - Страница 1")
![ka burish natijasida hosil bo'lgan nuqtaning ordinatasiga aytiladi (sin kabi belgilanadi). [image: c:\program files (x86)\imt\algebra 9-sinf\data\res_style\rb.gif] 2- ta`rif burchakning kosinusi deb, (1; 0) nuqtani koordinatalar boshi atrofida burchakka burish natijasida hosil bo'lgan nuqtaning abssissasiga aytiladi (cos kabi belgilanadi). [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img2\58 kopiya.gif] bu ta'riflarda burchak graduslarda, shuningdek, radianlarda ham ifodalanishi mumkin. masalan, (1; 0) nuqtani [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2534.gif] burchakka, ya'ni 90° ga burishda (0; 1) nuqta hosil qilinadi. (0; 1) nuqtaning ordinatasi 1 ga teng, shuning uchun [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2536.gif]; bu nuqtaning abssissasi 0 ga teng, shuning uchun [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2538.gif]. burchak 0° dan 180° gacha oraliqda bo'lgan holda sinus va kosinuslarning ta'riflari geometriya kursidan ma'lum bo'lgan sinus va kosinus ta'riflari bilan mos tushishini ta'kidlaymiz. masalan, [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2540.gif]. 1-masala. sin(-) va cos(-) ni toping. (1; 0) nuqtani - burchakka burganda u (-1; 0) nuqtaga o'tadi (58- rasm). [image: c:\program …](/media/previews/pages/p2_293386.webp "9_sinf_algebra_42_burchakning_sinusi,_kosinusi,_tangensi_va_kotangensi - Страница 2")
![aylanada ordinatasi nolga teng bo'lgan ikkita nuqta bor: (1;0) va (-1; 0) (58- rasm). bu nuqtalar (1; 0) nuqtani 0, [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img18\eq-322008605.gif], [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img18\eq-30328470.gif], [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img18\eq-270760688.gif] va hokazo, shuningdek, [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img18\eq-2073930420.gif], [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img18\eq-935717771.gif], [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img18\eq-1622264251.gif] va hokazo burchaklarga burish bilan hosil qilinadi. demak, [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img29\eq-1585766452.gif] bo'lganda (bunda k - istalgan butun son) sint=0 bo'ladi. [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img8\rasm-345.jpg] butun sonlar to'plami z harfi bilan belgilanadi. k son z ga tegishli ekanligini belgilash uchun, [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img29\eq-165672715.gif] yozuvdan foydalaniladi ("k son z ga tegishli" deb o'qiladi). shuning uchun 3-masala javobini bunday yozish mumkin: [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img29\eq-15028848.gif]. 4-masala. cost = 0 tenglamani yeching. birlik aylanada abssissasi nolga teng bo'lgan ikkita nuqta bor: (0, 1) va (0; -1) (60- rasm). [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img2\60 kopiya.gif] 60- …](/media/previews/pages/p3_293386.webp "9_sinf_algebra_42_burchakning_sinusi,_kosinusi,_tangensi_va_kotangensi - Страница 3")
![hosil qilinadi. javob: [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2548.gif]. [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img8\rasm-346.jpg]7 5-masala. tenglamani yeching: 1) sint = l; 2) cost = l. 1) birlik aylananing (0; 1) nuqtasi birga teng ordinataga ega. bu nuqta (1; 0) nuqtani [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2550.gif] burchakka burish bilan hosil qilinadi. 2) (1; 0) nuqtani [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2552.gif] burchakka burish bilan hosil qilingan nuqtaning abssissasi birga teng bo'ladi. javob: [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2554.gif] bo'lganda, sint = 1, [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img29\eq-1159856955.gif] bo'lganda, cost =1, [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img18\eq-1850009962.gif]. [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img8\rasm-347.jpg] 3- ta`rif burchakning tangensi, deb burchak sinusining uning kosinusiga nisbatiga aytiladi (tg kabi belgilanadi). [image: c:\program files (x86)\imt\algebra 9-sinf\data\res_style\rb.gif] shunday qilib, [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2556.gif]. masalan, [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2558.gif] [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2560.gif] ba'zan burchakning kotangensidan foydalaniladi (ctg kabi belgilanadi). u [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2562.gif] formula bilan aniqlanadi. masalan, …](/media/previews/pages/p4_293386.webp "9_sinf_algebra_42_burchakning_sinusi,_kosinusi,_tangensi_va_kotangensi - Страница 4")
![t\algebra 9-sinf\data\images\img6\rasm-2568.gif] faqat [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img23\eq-1679448431.gif] bo'lgan burchaklar uchun, ya'ni [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2570.gif] dan boshqa ixtiyoriy burchaklar uchun aniqlangan. sinus, kosinus, tangens va kotangenslarning ko'proq uchrab turadigan qiymatlari jadvalini keltiramiz. [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img23\eq-1542656510.gif] 0 [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2559.gif] [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2561.gif] [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2563.gif] [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2565.gif] [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2567.gif] [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2569.gif] [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2571.gif] (0°) (30°) (45°) (60°) (90°) (180°) (270°) (360°) [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img23\eq-694054902.gif] 0 [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2573.gif] [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2575.gif] [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2577.gif] 1 0 -1 0 [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img23\eq-503067925.gif] 1 [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2579.gif] [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2581.gif] [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2583.gif] 0 -1 0 1 [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img23\eq-426528028.gif] 0 [image: c:\program files (x86)\imt\algebra 9-sinf\data\images\img6\rasm-2585.gif] 1 [image: c:\program fi](/media/previews/pages/p5_293386.webp "9_sinf_algebra_42_burchakning_sinusi,_kosinusi,_tangensi_va_kotangensi - Страница 5")
О "9_sinf_algebra_42_burchakning_sinusi,_kosinusi,_tangensi_va_kotangensi"
@dars_ishlanma_yangi fan: matematika sinf: 9- __ sana: [bookmark: _goback]__-§. burchakning sinusi,kosinusi,tangensi va kotangensi ta'riflari mavzu burchakning sinusi,kosinusi,tangensi va kotangensi ta'riflari . maqsad va vazifalar darsning maqsadi: o’quvchilarga burchakning sinusi, kosinusi, tangensi va kotangensi ta’riflari haqida ma`lumot berish. darsning ta’limiy vazifasi: o‘quvchilarga burchakning sinusi, kosinusi, tangensi va kotangensi ta’riflari haqida bilim berish va ulardan foydalanish ko’nikmasini hosil qilish. darsning tarbiyaviy vazifasi: o’quvchilarni yangi bilimlar egallashga va tartib-intizomga doimo rioya etishga hamda o`qituvchilik kasbiga yo’naltirish. darsning rivojlantiruvchi vazifasi: o‘quvchilarning kompyuterdan foydalanish haqidagi bilim va tasavvurlarini kengaytiri...
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