Here was a rebroadcast of the first free lesson of the new course on preparation for the Unified State Exam: http://trushinbv.ru/ege100 0:00:00 Greeting 0:01:49 Trigonometric circle 0:04:34 sin and cos 0:05:18 Basic trigonometric identity 0:07:12 Basic properties of sin and cos 0:17:17 tg and ctg and their properties 0:18:30 Trigonometric functions of basic angles 0:22:09 cos(xy), cos(x+y), sin(xy), sin(x+y) 0:35:54 sin2x, cos2x, sin3x 0:39:35 Tasks 9 from the profile Unified State Exam 0:51:51 Break for chatting 1:01:10 tg(x+y), tg(xy) 1:02:57 sinx⋅cosy, sinx⋅siny, cosx⋅cosy 1:05:40 sinα + sinβ, cosα + cosβ, cosα - cosβ 1:10:03 The simplest trigonometric equations 1:14:33 Task 13 from the 2020 profile Unified State Exam 1:37:30 Break for chatting 1:45:30 Task 13 from the 2020 profile Unified State Exam 1:53:40 Graphs of trigonometric functions 2:05:43 Arc functions 2:26:44 Tangent axis 2:28:40 Symmetries of arc function graphs 2:35:39 sin(arcsin x) and arcsin(sin x) 2:39:18 Answers to questions This academic year I am teaching three courses: ✔ "Preparation for the Unified State Exam in Advanced Mathematics from 0 to 70 points (10th-11th grade)": http://trushinbv.ru/ege70 Suitable for both tenth-graders who want to consistently score 70+ a year before the Unified State Exam, and eleventh-graders who know next to nothing but want to get decent scores in a year. In this course we will master the entire test section, as well as many problems from the difficult part of the Unified State Exam. ✔ "Preparation for the Unified State Exam in Advanced Mathematics from 60 to 100 points (11th grade)": http://trushinbv.ru/ege100 For those who already know mathematics at a basic level and want to master it to 90+ in a year. There, we will mainly learn to solve problems from the difficult part of the Unified State Exam, but we will also delve a little into some meaningful problems from the test section. (If an eleventh-grader is sufficiently motivated, they can study simultaneously on both of these courses – http://trushinbv.ru/egepack – their programs are coordinated with each other) ✔ “Preparation for the List Olympiads in Mathematics (10-11 grades)”: http://trushinbv.ru/olymp First of all, this course is for eleventh-graders who have mastered the standard school curriculum with at least a “B” and want to prepare for Olympiads such as Phystech, Lomonosov, OMMO and PVG in six months in order to try to get a diploma in at least one of them. In addition, my last year’s courses are available in recording: ✔ “Preparation for the OGE”: http://trushinbv.ru/oge9 This is a recording of a large annual course that I taught a couple of years ago. This year I will not have new courses for the 9th grade. ✔ Mini-courses on individual Unified State Exam tasks: Probability Theory from Scratch to the Unified State Exam (Tasks 2 and 10): http://trushinbv.ru/egeTV Equations and Inequalities (Tasks 12 and 14): http://trushinbv.ru/egeAL Stereometry (Task 13): http://trushinbv.ru/egeST Economic Problems (Task 15): http://trushinbv.ru/egeEC Planimetry (Task 16): http://trushinbv.ru/egePL Problems with a Parameter (Task 17): http://trushinbv.ru/egePR Number Theory (Task 18): http://trushinbv.ru/egeTC ✔ Mini-courses on listed Olympiads: Phystech Olympiad: http://trushinbv.ru/fizteh OMMO Olympiad: http://trushinbv.ru/ommo Olympiad Lomonosov and PVG: http://trushinbv.ru/lomonosov Other Foxford courses: http://trushinbv.ru/courses Foxford tutors: http://trushinbv.ru/coach Merchandise store: http://trushinbv.ru/shop Book by Trushin: http://trushinbv.ru/book How to support the channel: Regular help (Boosty): https://boosty.to/trushinbv Regular help (YouTube): / @trushinbv Regular help (Patreon): / trushinbv One-time help (Yu-money, former Yandex.Money): https://yoomoney.ru/to/410011017613074 One-time help (PayPal): https://paypal.me/boristrushin One-time help (Donation Alerts): https://www.donationalerts.com/r/bori... Personal website: http://TrushinBV.ru VKontakte: https://vk.com/ege_trushin Facebook: / trushinbv TikTok: / trushinbv Twitter: / trushinbv Instagram: / trushinbv Telegram: https://t.me/trushinbv YouTube: / trushinbv