Bell Ringer How many degrees is a radian?

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Presentation transcript:

Bell Ringer 12-8-17 1. How many degrees is a radian? 2. How many radians are in a circle? 3. What angles are “like” 30°? 4. What is 45° in radians? 5. What are the rules for special right triangles (45-45-90 and 30-60-90)? 6. What are the trig ratios for sine, cosine, and tangent?

Right Triangles in the Unit Circle Friday, December 8, 2017

The Unit Circle in the Coordinate Plane

The Unit Circle in the Coordinate Plane

The Unit Circle in the Coordinate Plane

The Unit Circle in the Coordinate Plane

The Unit Circle in the Coordinate Plane

The Unit Circle in the Coordinate Plane

The Unit Circle in the Coordinate Plane

The Unit Circle in the Coordinate Plane

The Unit Circle in the Coordinate Plane

The Unit Circle in the Coordinate Plane

The Unit Circle in the Coordinate Plane

The Unit Circle in the Coordinate Plane

The Unit Circle in the Coordinate Plane

The Unit Circle in the Coordinate Plane

Trigonometric Ratios

Trig Ratios in a Circle

When are the trig values positive and when are they negative? Just remember: If you want someone to be positive, Add Sugar To Coffee.

Examples Find the exact values of the following: 1. cos (90°) 2. sin (45°) 3. tan (30°) 4. tan (45°) 5. sin (270°)

More Examples Find the exact values of the following: 1. sin (240°) 2. cos (315°) 3. tan (135°) 4. sin (-240°) 5. tan (-150°)

More Examples Find the Basic Trig Values for angle C. Find the 3 basic trig functions for the given point on the terminal side in standard position. (5, -8)

More Examples

More Examples

Classwork: Algebra 2 p.707 #21-40 all Homework: Right Triangle Trig Assignments Classwork: Algebra 2 p.707 #21-40 all Homework: Right Triangle Trig

Exit Ticket 1. What are the possibilities for the x and y coordinates of the quadrantal angles? 2. What are the “special” angles? 3. What are the (positive or negative) possibilities for the x and y coordinates of the “special” angles?