Learning Resources

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Outcomes

In this lesson you will learn

• the properties of the reciprocal trigonometric functions, cosecant, secant and cotangent
• to graph the reciprocal trigonometric functions
• the use of the calculator when working with reciprocal trigonometric ratios

By the end of this section students will be able to:

• model situations with periodic curves
• analyze relations, functions and their graphs
• analyze the effect of parameter changes on the graphs of functions and express the changes using transformations
• explore and analyze the graphs of the reciprocal trigonometric functions
• investigate and interpret combinations and compositions of functions

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

• the primary trigonometric functions
• the reciprocal identities
• the unit circle
• the graphs of the primary trigonometric functions
• domain and range
• maximum and minimum values
• odd and even functions
• asymptotic behaviour
• intervals of increase and decrease
• interval notation
• transformations