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Unit Circle. Special Triangles 30 60 Short Long Hypotenuse s s 2s Hypotenuse 45.

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Presentation on theme: "Unit Circle. Special Triangles 30 60 Short Long Hypotenuse s s 2s Hypotenuse 45."— Presentation transcript:

1 Unit Circle

2 Special Triangles 30 60 Short Long Hypotenuse s s 2s Hypotenuse 45

3 Special Triangles EX 2 30 60 1 EX 1 45 1

4 The Unit Circle 30 1 45 1

5 If a circle of radius 1 is drawn with the vertex at the center, the measure of this angle in radians (rad) is the length of the arc that subtends the angle. Radian measure is a unitless number. Radians

6 If the radius = 1 then the circumference of a circle is 2π so a complete revolution around the circle is 2 π radians. A straight angle has measure π radians or 180 degrees. A right angle has measure ____ radians.

7 What about….

8 60° = ____ radians 120° = ____ radians -45 ° = _____ radians 1 ° = _____ radians To convert from degrees to radians, set up a proportion

9 Convert


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