Unit 3 Trigonometry Review Radian Measure Special Angles Unit Circle 1

Radian Measure a r  Circumference of any circle a = 2  r One complete revolution of a circle is 360 o

Converting Degrees to Radians

Converting Degrees to Radians Quadrant Angles

Converting Degrees to Radians Special Angles

8 CAST RULE – – ALL ratios + – Sin + Tan + Cos + Add Coffee To Sugar

Unit Circle The "Unit Circle" is a circle with a radius of 1. x

60 Degrees Take an equilateral triangle (all sides are equal and all angles are 60°) and split it down the middle.

30 Degrees

For 45 degrees, x and y are equal, so y = x: 45 Degrees x 2 + x 2 = 1 2x 2 = 1

How to Remember?

Angle sin  cos  0o0o 30° 45° 60° 90 o

For the whole circle we need values in every quadrant, with the correct plus or minus sign as per Cartesian Coordinates: Note that cos is first and sin is second, so it goes (cos, sin):

Find the exact values for the following trigonometric ratios.