'Terminal angles' diaporamas de présentation

Chapter 5 Trigonometric Functions

Chapter 5 Trigonometric Functions. Section 5.1 Angles and Arcs. Definition of an Angle. An angle is formed by rotating a given ray about its endpoint to some terminal position. The original ray is the initial side of the angle, and the second ray is the terminal side of the angle.

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Learning Goal: Students will understand radian measure of an angle,

Learning Goal: Students will understand radian measure of an angle, be able to find co-terminal angles of a given angle; students will be able to determine the reference angle of a given angle. Agenda: Prior Knowledge Check Lesson: explanation slide followed by guided practice problems.

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Lesson 44: Radian Measure

Mini-Theme: Famous Landmarks. Lesson 44: Radian Measure. Follow up on Warm Up:. For #3 Assume that the hypotenuse of the triangle is the terminal ray of an angle in standard position that is 35 degrees. Name two other co-terminal angles with this angle. Complements/Supplements.

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Objectives:

Objectives: Be able to draw an angle in standard position and find the positive and negative rotations. Be able to convert degrees into radians and radians into degrees. Be able to find complementary and supplementary angles in radians and degrees.

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To convert from degrees to radians

To convert from degrees to radians. by ? 180. multiply. To convert from radians to degrees. ? 180. multiply by:. Quadrantal Angles. Co-Terminal Angles have the same terminal side. terminal side is on the x-axis.

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Angles in Standard Position

Angles in Standard Position. P(x,y). a). b). d). c). e). f). Definition: an angle is in standard position when its INITIAL ARM is on the x-axis and the angles vertex is at the origin.(0,0) Point P(x,y) is a point on the TERMINAL ARM of the angle. Terminal arm.

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Lesson 45: Converting between Degrees and Radians

Lesson 45: Converting between Degrees and Radians. Follow up on Warm Up. The shaded area from #10 is called a segment of a circle or a lune . . Coterminal Angles in terms of Radians. Major coterminal Angles: . How do we convert from degrees to radians?.

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Coterminal Angles

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Coterminal Angles

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The Unit Circle

The Unit Circle. Co-Terminal Angles. Remember. Label the following quadrants:. II. I. IV. III. When labeling, did you move clockwise or counter-clockwise?. counter-clockwise. Standard position.

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