NAME: PERIOD: NOTES ALGEBRA II H Asymptotes OBJECTIVE DATE: Graphs of secant and cosecant functions Warm up: Example #1: Find the value of the following reciprocal trigonometric functions. a) = b) ( ) = ( ) c) = ( ) d) = Graphs of secant and cosecant functions: The graphs of trigonometric functions = ( ) and = can be obtained from the graphs of the sine and cosine functions using the reciprocal identities. = = Step 1: Draw a graph of its reciprocal function. For instance, to sketch the graph of the graph of = = , first sketch . Step 2: Then take reciprocals of the y-coordinates to obtain points on the graph of = . Additionally, x-intercepts of the sine and cosine functions become vertical asymptotes of the cosecant and secant functions. Example #2: Draw the graph of = . Example #3: Draw the graph of = . Example #4: Draw the graph of = 4 sec(2 Example #5: Draw the graph of = 3 csc( ). ).