TRIGONOMETRY OF THE UNIT CIRCLE : TRIGONOMETRY OF THE UNIT CIRCLE DEFINITION: the unit circle is a circle of radius 1 centered at the origin in the xy-plane.
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EX: SHOW THAT POINT P IS ON THE UNIT CIRCLE. : EX: SHOW THAT POINT P IS ON THE UNIT CIRCLE.
EX:LOCATING A POINT ON THE UNIT CIRCLE. : EX:LOCATING A POINT ON THE UNIT CIRCLE.
TERMINAL POINTS ON THE UNIT CIRCLE. : TERMINAL POINTS ON THE UNIT CIRCLE. Let t be a real number. Then the distance from the point (1,0) to the point P(x,y) on unit circle is called the terminal point. If one moves in a counterclockwise direction
Then t is a positive number.
If one moves in a clockwise direction then
T is a negative number.
EXAMPLES AND CONCEPTS : EXAMPLES AND CONCEPTS
THE CIRCUMFERENCE OF A CIRCLE IS 2∏R. : THE CIRCUMFERENCE OF A CIRCLE IS 2∏R. FOR THE UNIT CIRCLE R= 1
THIS IMPLIES THAT C= 2∏
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EXAMPLES: : EXAMPLES:
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THE REFERENCE NUMBER : THE REFERENCE NUMBER DEF: Let t be a real number. The reference number t’ associated with t is the shortest distance along the unit circle between the terminal point determined by t and the x-axis.