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Инфоурок / Математика / Презентации / Презентация по математике на тему "Radian and Degree Measure"
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  • Математика

Презентация по математике на тему "Radian and Degree Measure"

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материалов
* 6.1 Radian and Degree Measure In this section, we will study the following...
* 6.1 Radian and Degree Measure Angles Trigonometry: measurement of triangles...
* 6.1 Radian and Degree Measure Standard Position Vertex at origin 	The initi...
* 6.1 Radian and Degree Measure Positive and negative angles When sketching a...
* 6.1 Radian and Degree Measure Measuring Angles The measure of an angle is d...
* 6.1 Radian and Degree Measure Measuring Angles
* Angles are often classified according to the quadrant in which their termin...
* 6.1 Radian and Degree Measure Classifying Angles Standard position angles t...
* 6.1 Radian and Degree Measure Coterminal Angles Angles that have the same i...
* 6.1 Radian and Degree Measure Example of Finding Coterminal Angles You can...
Ex 3. Find one positive and one negative angle that is coterminal with the an...
* 6.1 Radian and Degree Measure Radian Measure A second way to measure angles...
* 6.1 Radian and Degree Measure Radian Measure
* 6.1 Radian and Degree Measure Radian Measure
* 6.1 Radian and Degree Measure Conversions Between Degrees and Radians To co...
Ex 5. Convert the degrees to radian measure. 60 30 -54 -118	 45
Ex 6. Convert the radians to degrees. a) b) c) d)
Ex 7. Find one positive and one negative angle that is coterminal with the an...
*
Class Work Convert from degrees to radians. 54 -300 Convert from radians to...
Find one postive angle and one negative angle in standard position that are c...
21 1

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Описание презентации по отдельным слайдам:

№ слайда 1 * 6.1 Radian and Degree Measure In this section, we will study the following
Описание слайда:

* 6.1 Radian and Degree Measure In this section, we will study the following topics: Terminology used to describe angles Degree measure of an angle Radian measure of an angle Converting between radian and degree measure Find coterminal angles

№ слайда 2 * 6.1 Radian and Degree Measure Angles Trigonometry: measurement of triangles
Описание слайда:

* 6.1 Radian and Degree Measure Angles Trigonometry: measurement of triangles Angle Measure

№ слайда 3 * 6.1 Radian and Degree Measure Standard Position Vertex at origin 	The initi
Описание слайда:

* 6.1 Radian and Degree Measure Standard Position Vertex at origin The initial side of an angle in standard position is always located on the positive x-axis.

№ слайда 4 * 6.1 Radian and Degree Measure Positive and negative angles When sketching a
Описание слайда:

* 6.1 Radian and Degree Measure Positive and negative angles When sketching angles, always use an arrow to show direction.

№ слайда 5 * 6.1 Radian and Degree Measure Measuring Angles The measure of an angle is d
Описание слайда:

* 6.1 Radian and Degree Measure Measuring Angles The measure of an angle is determined by the amount of rotation from the initial side to the terminal side. There are two common ways to measure angles, in degrees and in radians. We’ll start with degrees, denoted by the symbol º. One degree (1º) is equivalent to a rotation of of one revolution.

№ слайда 6 * 6.1 Radian and Degree Measure Measuring Angles
Описание слайда:

* 6.1 Radian and Degree Measure Measuring Angles

№ слайда 7 * Angles are often classified according to the quadrant in which their termin
Описание слайда:

* Angles are often classified according to the quadrant in which their terminal sides lie. Ex1: Name the quadrant in which each angle lies. 50º 208º II I -75º III IV 6.1 Radian and Degree Measure Classifying Angles Quadrant 1 Quadrant 3 Quadrant 4

№ слайда 8 * 6.1 Radian and Degree Measure Classifying Angles Standard position angles t
Описание слайда:

* 6.1 Radian and Degree Measure Classifying Angles Standard position angles that have their terminal side on one of the axes are called quadrantal angles. For example, 0º, 90º, 180º, 270º, 360º, … are quadrantal angles.

№ слайда 9 * 6.1 Radian and Degree Measure Coterminal Angles Angles that have the same i
Описание слайда:

* 6.1 Radian and Degree Measure Coterminal Angles Angles that have the same initial and terminal sides are coterminal. Angles  and  are coterminal.

№ слайда 10 * 6.1 Radian and Degree Measure Example of Finding Coterminal Angles You can
Описание слайда:

* 6.1 Radian and Degree Measure Example of Finding Coterminal Angles You can find an angle that is coterminal to a given angle  by adding or subtracting multiples of 360º. Ex 2: Find one positive and one negative angle that are coterminal to 112º. For a positive coterminal angle, add 360º : 112º + 360º = 472º For a negative coterminal angle, subtract 360º: 112º - 360º = -248º

№ слайда 11 Ex 3. Find one positive and one negative angle that is coterminal with the an
Описание слайда:

Ex 3. Find one positive and one negative angle that is coterminal with the angle  = 30° in standard position. Ex 4. Find one positive and one negative angle that is coterminal with the angle  = 272 in standard position.

№ слайда 12 * 6.1 Radian and Degree Measure Radian Measure A second way to measure angles
Описание слайда:

* 6.1 Radian and Degree Measure Radian Measure A second way to measure angles is in radians. Definition of Radian: One radian is the measure of a central angle  that intercepts arc s equal in length to the radius r of the circle. In general,

№ слайда 13 * 6.1 Radian and Degree Measure Radian Measure
Описание слайда:

* 6.1 Radian and Degree Measure Radian Measure

№ слайда 14 * 6.1 Radian and Degree Measure Radian Measure
Описание слайда:

* 6.1 Radian and Degree Measure Radian Measure

№ слайда 15 * 6.1 Radian and Degree Measure Conversions Between Degrees and Radians To co
Описание слайда:

* 6.1 Radian and Degree Measure Conversions Between Degrees and Radians To convert degrees to radians, multiply degrees by To convert radians to degrees, multiply radians by

№ слайда 16 Ex 5. Convert the degrees to radian measure. 60 30 -54 -118	 45
Описание слайда:

Ex 5. Convert the degrees to radian measure. 60 30 -54 -118 45

№ слайда 17 Ex 6. Convert the radians to degrees. a) b) c) d)
Описание слайда:

Ex 6. Convert the radians to degrees. a) b) c) d)

№ слайда 18 Ex 7. Find one positive and one negative angle that is coterminal with the an
Описание слайда:

Ex 7. Find one positive and one negative angle that is coterminal with the angle  = in standard position. Ex 8. Find one positive and one negative angle that is coterminal with the angle  = in standard position.

№ слайда 19 *
Описание слайда:

*

№ слайда 20 Class Work Convert from degrees to radians. 54 -300 Convert from radians to
Описание слайда:

Class Work Convert from degrees to radians. 54 -300 Convert from radians to degrees. 3. 4.

№ слайда 21 Find one postive angle and one negative angle in standard position that are c
Описание слайда:

Find one postive angle and one negative angle in standard position that are coterminal with the given angle. 135


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Дата добавления 16.02.2016
Раздел Математика
Подраздел Презентации
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Номер материала ДВ-460553
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