THE UNIT CIRCLE

WHAT IS THE UNIT CRCLE?

• The unit circle is a circle whose radius equals 1.
• In trigonometry, the unit circle is centered at the point of origin(0,0)
• The angles within the unit circle are measured by radians.
• The unit is placed on a graph with x and y coordinates.
• In the x and y coordinates, the x equals the cos of the radian, while the y equals the sin

ANGLES OF THE UNIT CIRCLE

• Angles of the unit circle fall in a pattern of sorts, as the values that are exact are in 3 families,
• These 3 families are pi/3, pi/4, and pi/6
• These radians all equal specific x and y values on the unit circle
• For each family, there is a variation of the x and y coordinate depending on the quadrant

Pi/3

• Pi/3= 3/root 2, 1/2
• 2pi/3= -3/root 2, 1/2
• 4pi/3= -3/root 2, -1/2
• 5pi/3= 3/root 2, -1/2

PI/4

• Pi/4= Root 2/2, Root 2/2
• 3pi/4= -Root 2/2, Root2/2
• 5pi/4= -root2/2, -root2/2
• 7pi/4= root2/2, -root 2/2

PI/6

• Pi/6= 1/2, root3/2
• 5pi/6= -1/2, root3/2
• 7pi/6= -1/2, -root3/2
• 11pi/6= 1/2, -root3/2