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ppt / pptx (powerpoint)
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1,2,3,4,5,6,7,8,9,10,11
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Слайды и текст к этой презентации:
№1 слайд![The relationship between the](/documents_6/183310bcb3d86b7a01c999d60dc514ec/img0.jpg)
Содержание слайда: The relationship between the sine, cosine and tangent of the same angle.
Topic of lesson:
№2 слайд![The goal of lessons Education](/documents_6/183310bcb3d86b7a01c999d60dc514ec/img1.jpg)
Содержание слайда: The goal of lessons:
Education:
concluded basic trigonometric identities; training in the use of these formulas to calculate the values of the sine, cosine of the number specified by the value of one of them.
Developing:
learn to analyze, compare, build analogy, summarize and organize, define and explain the concepts.
Educational:
education conscientious attitude to work and a positive attitude towards learning.
№3 слайд![Material needed textbooks,](/documents_6/183310bcb3d86b7a01c999d60dc514ec/img2.jpg)
Содержание слайда: Material needed:
textbooks,
notebooks,
table,
computer,
screen,
projector.
№4 слайд![Type of lesson Combined](/documents_6/183310bcb3d86b7a01c999d60dc514ec/img3.jpg)
Содержание слайда: Type of lesson: Combined
№5 слайд![Lesson Plan . Organization of](/documents_6/183310bcb3d86b7a01c999d60dc514ec/img4.jpg)
Содержание слайда: Lesson Plan:
1. Organization of the beginning of the lesson (2-3 min.).
2. Survey and repetition ( Definition of sine, cosine and tangent and their signs) (10 min.).
3. Explanation of the new material (10 min.).
4. Attaching a new material (15 min.).
5. Setting the home (3-4 min.).
№6 слайд![Proceduses Ход урока](/documents_6/183310bcb3d86b7a01c999d60dc514ec/img5.jpg)
Содержание слайда: Proceduses (Ход урока)
№7 слайд![. Organization of the](/documents_6/183310bcb3d86b7a01c999d60dc514ec/img6.jpg)
Содержание слайда: 1. Organization of the beginning of the lesson (2-3 min.).
Good afternoon, boys and girls!
Sit down, please.
Who is absent today?
№8 слайд![. Survey and repetition](/documents_6/183310bcb3d86b7a01c999d60dc514ec/img7.jpg)
Содержание слайда: 2. Survey and repetition ( Definition of sine, cosine and tangent and their signs) (10 min.).
Specify signs of trigonometric functions of these angles:
2. Find the value of the expression
№9 слайд![Answers . .](/documents_6/183310bcb3d86b7a01c999d60dc514ec/img8.jpg)
Содержание слайда: Answers
1.
2.
№10 слайд![. Explanation of the new](/documents_6/183310bcb3d86b7a01c999d60dc514ec/img9.jpg)
Содержание слайда: 3. Explanation of the new material (10 min.).
As already known in the ordinate and abscissa x can be represented in the form of sine and cosine of the angle by the following formulas:
sin(a) = у,
cos(a) = х.
Substituting these values into the equation of the unit circle we have the following equality:
(sin(a))2 + (cos(a))2 =1
This equality holds for all values of the angle a. It is called the Pythagorean trigonometric identity.
From the basic trigonometric identities can be expressed by one function over another.
sin(a) = ±√(1-(cos(a))2),
cos(a) = ±√(1-(sin(a))2).
№11 слайд![For example. Calculate sin a](/documents_6/183310bcb3d86b7a01c999d60dc514ec/img10.jpg)
Содержание слайда: For example.
Calculate sin (a), if the cos (a) = - 3/5 and <a <3 * / 2.
We use the above formula:
sin (a) = ± √ (1- (cos (a)) 2).
Since <a <3 * / 2, a 3 quarter, the sign in front of the root will be "minus". Sin is negative in the third quarter.
sin (a) = ± √ (1- (cos (a)) 2) = - √ (1 - 9/25) = - 4/5.
№12 слайд![. The relationship between](/documents_6/183310bcb3d86b7a01c999d60dc514ec/img11.jpg)
Содержание слайда: 2. The relationship between the tangent and cotangent of the same angle.
№13 слайд![. Attaching a new material](/documents_6/183310bcb3d86b7a01c999d60dc514ec/img12.jpg)
Содержание слайда: 4. Attaching a new material (15 min.).
№14 слайд![. Setting the home.](/documents_6/183310bcb3d86b7a01c999d60dc514ec/img13.jpg)
Содержание слайда: 5. Setting the home. №459