2. Цели и задачи: Обзор материала по главе «Тригонометрические уравнения» Контроль знания формул простейших тригонометрических уравнений Решение простейших (формативное оценивание) Решение тригонометрических уравнений по индивидуальным картам (формативное оценивание)

3. Which of these equations does not have a solution? a: sin(100x) = 0.1 b: tan(x) = 10000 c: 2sin x = -3 d: cos 2 x - 1 / 4 = 0 e: cosec x = -2000

4. If x is a positive angle smaller than 90° and cos(x) = 1/3, then sin(x) = A) 2/3 B) 2√2 / 3 C) √2 D) 8/9 E) 4/9 Convert 135° into radians. A) Pi/4 B) Pi/3 C) 3Pi/4 D) Pi/6 E) 2Pi/3

5. The measurement of an angle of a right triangle is 40° and the leg opposite to this angle is 5 cm long. What is the length, in cm, of the other leg? A) 5/tan(50) B) tan(50)/5 C) tan(40)/4 D) 5/tan(40) E) 4/tan(40)

6. Which of these graphs is the graph of y = cos(2x)?

7. Solve the trigonometric equation and find ALL solutions. 2 cos x + 1 = 0 Solve the trigonometric equation and find ALL solutions. 3 sec 2 x - 4 = 0 Solve the trigonometric equation and find ALL solutions. (3 cos x + 7) (-2 sin x - 1) = 0 Solve the trigonometric equation and find ALL solutions. (6 tan 2 x - 2) (2 tan 2 x - 6) = 0 Solve the trigonometric equation and find ALL solutions in the interval [0, 2Pi). -2 sec 2 x + 4 = -2sec x Solve the trigonometric equation and find ALL solutions in the interval [0, 2Pi). 2sin (x) cos (-x) = 2 sin (-x) sin (x) Solve the trigonometric equation and find ALL solutions in the interval [0, 2Pi). sin 2x = -sin (-x) Formative Assessment « Trigonometry » Solve the following equation: sin(x)tan(x) = 0. Solve the following equation: cos(x) - tan 2 (x) = 1. Solve the following equation: sin 2 (x) - 1 = cos 2 (x) + 2 What is arccos( ) ? arcsin(0)? arccos( ) ?) ?

8. Решение тригонометрических уравнений по индивидуальным карточкам