Learning Resources

Focus B: Other Trigonometric Functions & Investigation 5: Other Trigonometric Functions

Properties of the graph y = csc:

• The value of the function approaches -or , depending on the side from which it is approaching the asymptote.
• The period of the function is 2 which is reasonable because this is the period of the original graph, f() = sin.
• Local minima are located at
• Local maxima are located at
• The asymptotes occur at , where sin= 0.
• Domain:
• Range:
• The graphs should look as shown below. The sine function is in blue and the cosecant function is in red.