Trigonometrik funksiyalar.
Keywords:
Trigonometrik funksiyalar, Sinus, Kosinus, Tangens, Kotangens, Davriylik, Birlik aylana, Amaliy qo'llashAbstract
Trigonometrik funksiyalar matematika va uning turli sohalarida markaziy o'rin tutuvchi tushunchalardir. Ular uchburchaklar va doiralar geometriyasini o'rganishdan kelib chiqqan bo'lib, davriy hodisalarni modellashtirishda keng qo'llaniladi. Ushbu funksiyalar sinus, kosinus, tangens va kotangens kabi asosiy turlarni o'z ichiga oladi, ularning har biri o'ziga xos xususiyatlarga, jumladan, davriylik, aniqlanish sohasi va qiymatlar to'plamiga ega. Maqolada trigonometrik funksiyalarning ta'rifi, asosiy xossalari va ularning fizika, muhandislik, astronomiya kabi fanlardagi amaliy ahamiyati atroflicha ko'rib chiqiladi. Zamonaviy texnologiyalar va hisoblash usullarida ularning o'rni ham tahlil etiladi.References
[1] Mirzayev M.M., Xudoyberdiyev A.A., Xudoyberdiyeva N.N. "Matematika" (Oliy o'quv yurtlari uchun darslik). Toshkent: "Fan va texnologiya", 2021.
[2] G'ulomov S.S., Xudoyberdiyev A.A., Xudoyberdiyeva N.N. "Matematika" (Oliy ta’lim muassasalari uchun o‘quv qo‘llanma). Toshkent: "Innovatsiya-Ziyo", 2022.
[3] Xolmatov A.N., Ergasheva M.A. "Trigonometrik funksiyalar va ularning tatbiqlari". "Fan va ta'lim" jurnali, 2023, 4(1). – https://scienceandeducation.uz/index.php/sae/article/view/5819
[4] Qodirova M.A. "Trigonometrik tenglamalarni yechishda noan'anaviy usullardan foydalanish metodikasi". "Academic research in educational sciences" jurnali, 2021, 2(2). – https://ares.uz/index.php/ares/article/view/1063
[5] Abdullayev A.A., Qurbonov A.M. "Trigonometrik qatorlar nazariyasi elementlari". Toshkent: "Tafakkur qanoti", 2020.
[6] Ochilov G.O., Xolliyev A.E. "Matematika: Oliy ta’lim muassasalari uchun o‘quv qo‘llanma". Samarqand: SamDU nashriyoti, 2022.
[7] Raxmatov M.A. "Trigonometrik funksiyalarning ba'zi xossalari va ularning tatbiqlari". "Science and Education" jurnali, 2022, 3(1). – https://scienceandeducation.uz/index.php/sae/article/view/4243
[8] To'rayev A.M. "Trigonometrik funksiyalarning differensial va integral hisobdagi o'rni". "Oriental Art and Culture" jurnali, 2023, 4(1). – https://orientalart.uz/index.php/oac/article/view/1004
[9] Isroilov I.A., Qurbonov A.M., Xudoyberdiyev A.A. "Matematika: Oliy ta’lim muassasalari uchun o‘quv qo‘llanma". Toshkent: "Lesson Press", 2023.
[10] Xolmatov A.N., Ergasheva M.A. "Trigonometrik funksiyalar yordamida masalalar yechish metodikasi". "Journal of Universal Science Research" jurnali, 2023, 1(1). – https://jusr.uz/index.php/jusr/article/view/21
ҚУТИБОЕВ, З., & ХАЗИРОВ, Б. ХОЖА АҲРОР ВАЛИЙ МУЛКЛАРИ: МАНБАЛАРИ, БОШҚАРИЛИШИ, САРФИ (РИВОЯТ ВА ЁЗМА МАНБАЛАР АСОСИДА). ILMIY ХABARNOMA. НАУЧНЫЙ ВЕСТНИК Учредители: Андижанский государственный университет им. ЗМ Бабура, (1), 34-38.
Burxaniddinovich, X. B. (2026). PIRIZIDENT SHAVKAT MIRZIYOYEV ASARLARIDA INSON FALSAFASI. TADQIQOTLAR, 79(1), 110-120.
Qurbonova, M. T., & Xazirov, B. (2025). ARXEOGENETIKA VA SKELET ANTROPOLOGIYASI QADIMGI POPULYATSIYALAR HAYOT TARZINI KOMPLEKS TAHLIL QILISHNING ZAMONAVIY METODLARI. Central Asian Journal of Multidisciplinary Research and Management Studies, 2(11), 181-185.
Burxaniddinovich, X. B. (2026). FARG ‘ONA VODIYSI VILOYATLARIDA TIBBIY INFRATUZILMANING RIVOJLANISH DINAMIKASI (1991-2025-YILLAR). YANGI RENESSANS, 3(3), 68-75.
8 ta maqolaga 22 ta hozir
Husanova, S. (2022). QADIMGI FARG'ONANING SAMOVIY TULPORLARI (Mingtepa yaqinidan topilgan yangi qoyatosh rasmlari asosida). Scientific journal of the Fergana State University, (1), 26-26.
Artikalievna, S. K. (2020). The role of shrines in the national tourism development (on the example of shrines in marhamat district of andijan region). ACADEMICIA: AN INTERNATIONAL MULTIDISCIPLINARY RESEARCH JOURNAL, 10(12), 522-525.
BAYRAMOĞLU, G., YILMAZ, O., PALABIYIK, N., & YÜKSEL, Ü. (2025). Globalization and Innovation The Foundation of Scientific Research, Social Development, and Modernization.
Abdieva, G., Khamdamova, M., Sadullaev, S., Matkarimov, I., Xusanova, S., & Alzubaidi, L. H. (2024). Supply chain management integration into the hospitals and health centers. Economic Annals-XXI/Ekonomìčnij Časopis-XXI, 212(11/12), 4.
8 ta maqolaga Hozir 2 ta
Ismoilova, H. M., & ugli Rakhmatullaev, O. K. (2022). Financial activity in the Republic of Uzbekistan. Galaxy International Interdisciplinary Research Journal, 10(12), 770-773.
Ismoilova, K. M. Transformation processes of the concept of family customs and values in the culture of the Uzbek people. Илмий хабарнома.
BAYRAMOĞLU, G., YILMAZ, O., PALABIYIK, N., & YÜKSEL, Ü. (2025). Globalization and Innovation The Foundation of Scientific Research, Social Development, and Modernization.
Ismoilova, K. M. (2024). FERGHANA VALLEY FAMILY VALUES SPECIFIC NATIONAL MENTAL CHARACTERISTICS IN THE MODERN PERIOD. Journal of Modern Educational Achievements, 2(1), 52-58.
Ismoilova, K. (2024). THE ROLE OF NATIONAL TRADITIONS IN THE FORMATION OF FAMILY VALUES OF FERGHANA VALLEY. Confrencea, 1(1), 342-348.
Manzura, B., & Ismoilova, X. (2024). Antibiotiklar: Hayotni saqlab qoluvchi kichik qahramonlar. SHOKH LIBRARY, 203-209.
Ismoilova, X. M. (2024). FARG ‘ONA VODIYSI OILA QADRIYATLARINING HUQUQIY TARTIBGA SOLINISHIDA O ‘ZBEKISTON MILLIY QONUNCHILIGINING AHAMIYATI. Academic research in educational sciences, 5(TSUE Conference 1), 593-596.
8 ta maqolaga Hozir 105 ta
OBJECT, A. K. I. O. (2022). SUBJECT AND SYNERGETIC CATEGORIES IN SCIENTIFIC WORK. Spectrum Journal of Innovation, Reforms and Development, 3, 25-29.
Каримова, М. А., & Нажимидинова, Д. Ғ. (2023). ФАРЗАНД ТУҒИЛИШИ ВА БОЛА ТАРБИЯСИ БИЛАН БОҒЛИҚ УРФ-ОДАТЛАРДА ЗАРДУШТИЙЛИК ИЗЛАРИ. Journal of new century innovations, 12(1), 69-76.
Абдуллаев, У. С., & Каримова, М. А. (2014). Основные направления традиционных межэтнических процессов в Ферганской долине (XIX-XX в. в). Социально-гуманитарный вестник Юга России, (4), 3-7.
Абдуллаев, У. С., & Каримова, М. А. (2015). Обряды, связанные с посещением мазаров у женщин Ферганы: традиция и современность. Международный научно-исследовательский журнал, (6-4 (37)), 72-74.
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