Trigonometry from scratch to the Unified State Exam in 4 hours No. 6, 7, 13 from the Unified State

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Школково ЕГЭ, ОГЭ, олимпиады

Published on Streamed live on May 24, 2023
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Tasks here: https://1.shkolkovo.online/public-sto... ➡ Connect FREE to the Unified State Exam Click and get charged with knowledge???? https://3.shkolkovo.online/shelchok-e... Summer school as a GIFT? Easy! For those who connect to the Time of the First - the Summer course is a bonus ???? ????USE: https://3.shkolkovo.online/vremya-per... ????OGE: https://3.shkolkovo.online/vremya-per... ????10th grade: https://3.shkolkovo.online/vremya-per... ❗HURRY UP: the price for VP will increase on June 9th ???? ???? Spin the roulette and get an additional discount ????????https://3.shkolkovo.online/fortune?ut... ????Find out more about how to save money here ⬇ https://3.shkolkovo.online/vozvrat-nd... All our current promotions and discounts ???????? https://3.shkolkovo.online/special?ut... ????Feedback from our students???????? https://2.shkolkovo.online/reviews?ut... Telegram channel on mathematics with MO???????? https://t.me/MO_EGE ???? Subscribe to notifications and mailing of useful materials VK???????? https://vk.com/app5898182_-185634090#... 00:00 Start 04:30 Introducing trigonometric functions through a right triangle (what is sin(x), cos(x), tg(x), ctg(x)) 06:20 Tabular values ​​of trigonometric functions + life hack 08:30 Introducing the trigonometric circle. Interpreting trigonometric functions on the unit circle 19:30 How to work with the trigonometric circle in problems. Derivation of the oddness of the function sin(x) and evenness of cos(x) 25:00 How to correctly mark angles on a circle? The circle turned out to be a spiral?! 30:00 Reduction formulas in trigonometry, the main trigonometric identity 39:00 Double-angle cosine and double-angle sine formulas 40:30 Important prototypes of problem #6 41:00 Solution to problem 1 (reduction formulas in practice) 46:00 Solution to problem 2 (double-angle sine formula in practice) + useful life hack 50:40 Solution to problem 3 (how to work with tangent and cotangent in problem #6) + the relationship between tangent and cotangent 58:20 Solution to problem 13 (double-angle cosine formula in practice) 1:00:00 Solution to problem 17 (using the oddness of the sine + reduction formulas) 1:07:20 Solution to problem 25 (finding the value of some expression with sines and cosines, knowing the tangent) 1:11:10 Solving problem 26 (finding the value of some expression, having information about the values ​​of an angle) + a typical mistake when working with OTT 1:19:40 Solving problem 38 (the main trigonometric identity in practice) 1:24:20 Recalling the formula for the sine of a sum/difference, the formula for the cosine of a sum/difference + recalling how to find the cosine, sine of a triple angle 1:28:30 How to solve elementary trigonometric equations 1:41:20 What to do if the sine or cosine is equal to a negative number? How to correctly indicate a series of solutions satisfying a given equation? Analysis on a unit circle 1:45:00 Elementary trigonometric equations containing tangent, cotangent 1:49:20 What to do if you come across a non-tabular value? How to write the answer correctly? 1:54:30 We start working on important prototypes of problem #5 (problem 43) + a little about arc functions 2:04:00 Solution to problem 44 (finding the largest negative root of an equation) 2:07:20 We start solving problems #12 (solution to problem 71, item a)) USE-2022 2:16:45 Solution to problem 71, item b) (remember how to make a selection using a trigonometric circle) 2:26:10 How homogeneous trigonometric equations are solved + example problem 2:29:50 Solution to problem 67, item a) (factorization and grouping in trigonometric equations) 2:35:10 Solution to problem 67, item b) (how to make a selection using a double inequality) 2:48:30 Solution to problem 70, item a) (ODZ in trigonometric equation) 2:58:10 Solution to problem 70, item b) (selection by circle) 3:01:00 Solution to problem 86, item a) - mixed equation (exponential + trigonometry) 3:11:00 Solution to problem 88, item a) (logarithm + trigonometry) 3:15:50 Solution to problem 88, item b) (selection by circle) 3:21:40 Solution to problem 68, item a) (auxiliary argument method) 3:28:00 Solution to problem 68, item b) (oral selection) 3:29:10 Homogeneous equations of the second degree (basic solution methods) 3:33:40 Estimation method as a method for solving trigonometric equations 3:39:50 How to solve trigonometric inequalities? 3:42:00 How to make selection correctly when working with arc functions? 3:48:00 Solution to problem 79, point a) (how abbreviated multiplication formulas help solve trigonometric equations)

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