Circular Functions

Learning Outcomes

Students should be able to:

identify a unit circle
identify the four quadrants on a unit circle
use the unit circle to define sine, cosine and tangent for any angle
state the sign of each trig functions in each of the four quadrants
relate the angle in any quadrant back to an equivalent first quadrant angle
find values of each trig function from 0 to 360°
convert between degrees and radians
state exact values for special angles given in degrees or radians
solve simple trig equations for angles from 0 to 360°
sketch the basic graphs for sin, cos, tan between 0 and 360°

Victorian Curriculum

(10A) Use the unit circle to define trigonometric functions as functions of a real variable, and graph them with and without the use of digital technologies (VCMMG368)
(10A) Solve simple trigonometric equations (VCMMG369)

Tasks

Complete selected questions from Ex 4I, 4J, 4K

Other Resources

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