Introduction to Trig Unit Unit Circle And Radians.

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Presentation transcript:

Introduction to Trig Unit Unit Circle And Radians

Diagrams page 448 AFM book

Unit Circle unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean planeCartesian coordinate systemEuclidean plane

Other descriptions of radians Radian - Wikipedia, the free encyclopedia Radian -- from Wolfram MathWorld

Definition for Radian You need to know for precalculus Is a central angle whose intercepted arc has length the radius of the circle

Definition of Pi Need to know for precalculus Is the circumference of a circle divided by its diameter.

Radians On the unit circle, the angles are given in degrees. Another way to measure an angle is with radians. It is like Fahrenheit and Celsius to measure temperature. 2π radians = 360° one complete rotation around the circle 1π radians = 180° a half a rotation π/2 radians = 90° a fourth of a rotation

Convert from Degree to Radians From degrees to radians Multiply by Reduce the fraction Example:Convert 90° to radians

Convert Radians to Degrees From Radians to Degrees Multiply by And Reduce the fraction Example Convert 3π/2 to decimal

These techniques Are very important and will be used throughout our study of trigonometry. So practice will make perfect!

Here is where we are going