Ch. 6: Trig Functions of Angles James Michel Matthis Feischen Boris Krassovski.

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Presentation transcript:

Ch. 6: Trig Functions of Angles James Michel Matthis Feischen Boris Krassovski

Sectors/ Arcs ArcSector

Sector- portion of a circle bounded by two radii and the included arc Formula for area of a sector: Formula for area of a sector: A= area of sector A= area of sector r= radius of circle r= radius of circle = central angle in radians = central angle in radians

Example On Coach Flatau’s Computer On Coach Flatau’s Computer

Arc- a segment of a circle Formula for the length of a circular arc: Formula for the length of a circular arc: s= arc length s= arc length r= radius of circle r= radius of circle = central angle in radians = central angle in radians

Circular Motion

Circular Motion- motion of an object that moves at a fixed distance from a point Angular Speed: Angular Speed: Linear Speed: Linear Speed: = radians traversed = radians traversed s= feet traversed s= feet traversed t= time t= time

Relating the Two Speeds

Example On Coach Flatau’s Computer On Coach Flatau’s Computer

Right Triangles

Right Triangle- triangle with a 90° angle All are in relation to the positioning of angle

Example Using Trigonometric Ratios of Right Triangles On Coach Flatau’s Computer On Coach Flatau’s Computer

Law of Sines

Example On Coach Flatau’s Computer On Coach Flatau’s Computer

Law of Cosines

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