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

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Presentation transcript:

Unit Circle

Special Triangles Short Long Hypotenuse s s 2s Hypotenuse 45

Special Triangles EX EX

The Unit Circle

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

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.

What about….

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

Convert