Trigonometric Functions: The Unit Circle

Objectives:
  • Find a point on the unit circle given one coordinate and the quadrant in which the point lies.
  • Determine the coordinates of a point on the unit circle given a point on the unit circle.
  • State the sign of the sine or cosine value of an angle based on the quadrant in which the terminal side of an angle occurs.
  • State the sine and cosine values of an angle (measured in radians) where the angles have a reference angle of 0, , , , , and
  • Determine the tangent, cotangent, secant, and cosecant values of an angle given a point on the unit circle.
  • State the sign of the tangent, cotangent, secant, and cosecant value of an angle based on the quadrant in which the terminal side of an angle occurs.
  • Determine the tangent, cotangent, secant, and cosecant values of an angle (measured in radians) where the angles have a reference angle of 0, , , , , and
Suggested Problems:

page 472: 

problems 3, 5, 6, 7, 8, 9, 12, 15, 19, 21, 23, 25, 31, 39, 47, 51, 53, 54, 57


Vocabulary:
  • quadrant
  • reference angle
  • sine of an angle
  • cosine of an angle
  • terminal side of an angle
  • initial side of an angle
  • tangent of an angle
  • cotangent of an angle
  • secant of an angle
  • cosecant of an angle
Formulas:

Possible Classroom Examples:




© 2007 Elizabeth E. K. Jones and the ASU Department of Mathematics and Statistics - All rights reserved.