Warm-Up 3/26 Fahrenheit. Rigor: You will learn how to convert from degrees to radians and radians to degrees. Relevance: You will be able to solve real.

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Presentation transcript:

Warm-Up 3/26 Fahrenheit

Rigor: You will learn how to convert from degrees to radians and radians to degrees. Relevance: You will be able to solve real world right triangle trigonometry problems using degrees and radians.

Trig 2: Degrees and Radians

Angle Starting position Position after rotation

counterclockwise clockwise

The most common angular unit of measure is the degree. 1° is formed by rotating the initial side of a complete revolution. Angle Measure: amount of rotation about vertex needed to “open” rays.

Conversions: Radians to Degrees: Multiply by Degrees to Radians: Multiply by

Example 1: Convert From Degrees to Radians. = 120° a. 120° b. – 45  = – 45°

Example 2: Convert From Radians to Degrees. a. b.

Coterminal Angles Degrees All angles  + 360n  Radians All angles  + 2n 

Example 3a: Find all angles and draw 2 Coterminal Angles. a. 45° 45   = 405  45  – 360  = – 315  All Angles: 45  n 

Example 3b: Find all angles and draw 2 Coterminal Angles. b.

Assignment 4-2 Worksheet 1-15 all