Algebra and Trigonometry, 5th Edition

6.5 Circular Functions: Graphs and Properties

• Given the coordinates of a point on the unit circle, find its reflections across the x-axis, the y-axis, and the origin.

• Determine the six trigonometric function values for a real number when the coordinates of the point on the unit circle determined by that real number are given.

• Find trigonometric function values for any real number using a calculator.

• Graph the six circular functions and state their properties.

The domains of the trigonometric functions, defined in Sections 6.1 and 6.3, have been sets of angles or rotations measured in a real number of degree units. We can also consider the domains to be sets of real numbers, or radians, introduced in Section 6.4. Many applications in calculus ...