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Цели и задачи: Обзор материала по главе «Тригонометрические уравнения»

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).

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Цели и задачи: Обзор материала по главе «Тригонометрические уравнения»

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  1. 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)

  2. 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 

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

  4. 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)/5C) tan(40)/4D) 5/tan(40)E) 4/tan(40)

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

  6. FormativeAssessment«Trigonometry» • Solve the following equation:sin(x)tan(x) = 0. • Solve the following equation:cos(x) - tan2(x) = 1. • Solve the following equation:sin2(x) - 1 = cos2(x) + 2 • What isarccos( )? arcsin(0)? arccos( • )? • 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)

  7. Решение тригонометрических уравнений по индивидуальным карточкам

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