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Exponential ege equations. USE task: solving simple equations. Simple Equations in One Variable

Workbook in mathematics series "USE 2017. Mathematics" is focused on preparing students high school To successful delivery unified state exam in mathematics in 2017 at the basic and profile levels. The workbook contains tasks for one position of the control measuring materials USE-2017.
At various stages of learning, the manual will help to provide a level approach to the organization of repetition, to control and self-control knowledge on the topic "Simple Equations". The workbook is focused on one academic year However, if necessary, it will allow to fill in the gaps in the knowledge of the graduate in the shortest possible time.
The notebook is intended for high school students, math teachers, parents.

Trigonometric equations.
Solutions of problems 7 and 8 of option 1 of the diagnostic work.
The main idea of ​​solving any trigonometric equation (in diagnostic works, these are tasks 7 and 8) is to reduce it to one or several simple trigonometric equations, that is, to equations of the form
sin x \u003d a, cos x \u003d a, tg x \u003d a.

Formulas for solving the simplest trigonometric equations are given in any textbook, and this group of tasks is intended for their repetition. Since the answer to tasks with a short answer can only be an integer or decimal, as an additional condition, it is required to select either the smallest positive root of the equation, or the largest negative root.

Content
From the series editor
Introduction
Diagnostic work
Entire rational equations. Solutions of tasks 1 and 2 of option 1 of diagnostic work
training work 1
Training work 2
Fractional-rational equations. Solutions of problems 3 and 4 of option 1 of diagnostic work
Training work 3
Training work 4
Irrational equations. Solutions of problems B and 6 option 1 of the diagnostic work
Training work 5
Training work 6
Trigonometric equations. Solutions of problems 7 and 8 of option 1 of diagnostic work
Training work 7
Training work 8
exponential equations. Solutions of problems 9 and 10 of option 1 of diagnostic work
Training work 9
Training work 10
Logarithmic equations. Solutions of problems 11 and 12 of option 1 of diagnostic work
Training work 11
Training work 12
Diagnostic work 1
Diagnostic work 2
Diagnostic work 3
Diagnostic work 4
Diagnostic work 5
Answers.

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Publication date: 12/17/2016 07:06 UTC

  • Preparation for the Unified State Exam in mathematics in 2020, Profile level, Yashchenko I.V., Shestakov S.A., 2020
  • USE 2019, Mathematics, Equations and systems of equations, Problem 13, Profile level, Shestakov S.A., Zakharov P.I., Yashchenko I.V.
  • Unified State Examination 2019, Mathematics, Problems for compiling equations, Task 11, Profile level, Workbook, Shestakov S.A., Yashchenko I.V.
  • USE 2019, Mathematics, Derivative and antiderivative, Study of functions, Task 12, Profile level, Workbook, Shestakov S.A., Yashchenko I.V.

The following tutorials and books:

  • USE 2017, Mathematics, Equations and systems of equations, Task 13, Profile level, Shestakov S.A., Yashchenko I.V.
  • USE 2017, Mathematics, Expression values, Task 9, Profile level, Tasks 2 and 5, Basic level, Workbook, Shestakov S.A., Yashchenko I.V.