Presentation is loading. Please wait.

Presentation is loading. Please wait.

Unit 3 Trigonometry Review Radian Measure Special Angles Unit Circle 1.

Similar presentations


Presentation on theme: "Unit 3 Trigonometry Review Radian Measure Special Angles Unit Circle 1."— Presentation transcript:

1 Unit 3 Trigonometry Review Radian Measure Special Angles Unit Circle 1

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

3 Converting Degrees to Radians

4 Converting Degrees to Radians Quadrant Angles

5 Converting Degrees to Radians Special Angles

6

7

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

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

10 60 Degrees Take an equilateral triangle (all sides are equal and all angles are 60°) and split it down the middle.

11 30 Degrees

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

13 How to Remember?

14 Angle sin  cos  0o0o 30° 45° 60° 90 o 1 1 0 0

15 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):

16 Find the exact values for the following trigonometric ratios.

17

18

19


Download ppt "Unit 3 Trigonometry Review Radian Measure Special Angles Unit Circle 1."

Similar presentations


Ads by Google