Tangent GraphsVideos, worksheets, games and acivities to help Algebra 2 students learn about the tangent, unit circle and tangent graphs.
Tangent Function and the Unit Circle : In right triangle trigonometry (for acute angles only), the tangent is defined as the ratio of the opposite side to the adjacent side. The unit circle definition is tan(theta)=y/x or tan(theta)=sin(theta)/cos(theta). The tangent function is negative whenever sineor cosine, but not both, are negative: the second and fourth quadrants. Tangent is also equal to the slope of the terminal side.
Tangent Function Graph : For a tangent function graph, create a table of values and plot them on the coordinate plane. Since tan(theta)=y/x, whenever x=0 the tangent function is undefined (dividing by zero is undefined). These points, at theta=pi/2, 3pi/2 and their integer multiples, are represented on a graph by vertical asymptotes, or values the function cannot equal. Because of unit circle symmetry over the y-axis, the period is pi/2.
Graphing the Tangent Function Using the Unit Circle
Graphs of trig functions Exploring the graphs of trig functions
Custom Search
We welcome your feedback, comments and questions about this site - please submit your feedback via our Feedback page. © Copyright 2005, 2011 - onlinemathlearning.com Embedded content, if any, are copyrights of their respective owners.
|
Custom Search