Summer school and annual courses for the Unified State Exam 2025 with a mathematician from Moscow State University: https://3.shkolkovo.online/math-msu My Telegram channel: https://t.me/mathmsu Materials for the intensive course SIROP are here: https://mnlp.cc/mini?domain=mathmsu&i... If you are in the 10th grade, then this is where you should go: https://t.me/+yeAlGTQAn5E0ZmZi Everything about DWI MSU is here: https://t.me/+hNmZJa59rY9hMjli VK group: https://vk.com/hitman_math Tik-Tok: / hitman_math My Instagram: / andreypavlikov_math Time codes: 00:00 Greeting and connection check 00:43 Syrup mini 01:50 Intensive course schedule 02:34 Meeting the teacher 03:11 The purpose of the meeting and the lesson plan 05:10 About task 13 of the profile Unified State Exam 07:02 Properties of powers 09:19 Definition of a logarithm 11:19 Properties of logarithms 15:52 Answers to questions 18:26 Trigonometry formulas 22:58 Answers to questions 24:28 Formula for reducing a power 27:28 Properties of trigonometric functions 27:54 Factorization method 28:45 Substitution method 30:18 Method for solving homogeneous equations 32:46 Methods for solving trigonometric equations 34:12 Methods for selecting roots 36:21 Problem 1 - Trigonometric equation 39:25 Problem 1 - Double angle cosine formula 42:02 Problem 1 - Factorization method 43:55 Problem 1 - Roots on a circle 46:45 Answers to questions 48:35 Problem 1 - Selecting roots using a circle 53:29 Answers to questions 59:40 Problem 2 - Trigonometric equation 1:00:21 Problem 2 - Formula for the cosine of a sum and the sine of a double angle 1:02:33 Problem 2 - Method of factorization 1:05:11 Problem 2 - Method of introducing a substitution 1:10:16 Answers to questions 1:16:43 Problem 2 - Selecting roots using a circle 1:20:56 Answers to questions 1:25:48 Problem 3 - Mixed equation 1:27:17 Problem 3 - Considering brackets separately 1:28:59 Problem 3 - Formula for the sine of a difference 1:32:09 Answers to questions 1:38:55 Problem 3 - Selecting roots using inequalities 1:44:21 Answers to questions 1:46:26 Problem 3 - Selection of roots using a circle 1:48:52 Answers to questions 1:52:36 Problem 4 - Exponential equation 1:54:52 Problem 4 - Transformation of the equation 1:59:18 Problem 4 - Method of introducing a substitution 2:02:56 Answers to questions 2:03:31 Top training course 2:07:38 Problem 4 - Selection of roots using inequalities 2:15:07 Answers to questions 2:18:35 Schedule of classes 2:19:30 Problem 5 - Mixed equation 2:19:53 Problem 5 - ODE and logarithm transformation 2:21:40 Problem 5 - Method of introducing a substitution 2:25:20 Answers to questions 2:34:28 Problem 5 - Selection of roots using a circle 2:37:04 How to choose a root selection method 2:38:01 Answers to questions 2:40:28 How to deal with stress when preparing for the Unified State Exam 2:45:00 Problem 6 - trigonometric equation 2:45:36 Problem 6 - even and odd functions 2:46:26 Problem 6 - factorization method 2:47:48 Answers to questions 2:52:46 Problem 6 - root selection using a circle 2:55:32 Answers to questions 3:00:30 Problem 7 - trigonometric equation 3:01:35 Problem 7 - difference of squares formula 3:03:05 Problem 7 - GTT and cosine of a double angle 3:06:54 Problem 7 - factorization method 3:08:42 Answers to questions 3:12:10 Problem 7 - Selecting roots using a circle 3:17:53 Answers to questions 3:23:10 Problem 8 - Trigonometric equation 3:25:55 Problem 8 - Sine of a sum 3:27:15 Problem 8 - Sine of a difference 3:30:55 Problem 8 - Difference of squares 3:34:38 ​​Answers to questions 3:36:08 Problem 8 - Selecting roots using inequalities 3:43:41 Answers to questions 3:46:42 Breaking Bad 3:48:23 Lesson summary #ege2024 #trigonometry #equations USE 2024 Unified State Exam in Mathematics Profiled Unified State Exam 2024 Unified State Exam in Mathematics Yashchenko FIPI Typical examination options 36 options Preparation for the profile Unified State Exam in Mathematics Problem 13 Part 2 Complex equations Trigonometry Powers Logarithm Arithmetic root Selection of roots on an interval Selection of roots on a segment Trigonometric equation Exponential equation Logarithmic equation Mixed equation Formulas for powers Formulas for logarithms Equation with modulus Trigonometry formulas Basic trigonometric identity Sine of a sum Sine of a difference Cosine of a sum Cosine of a difference Double angle formulas Factorization Reduction to the simplest Replacement method Homogeneous equation Inhomogeneous equation Estimation method Selection of roots on a circle Selection of roots by inequality Selection of roots by selection Comparison of numbers