MHF4U Equations of Reciprocal Trig Functions

Recall:

Draw the reciprocal of the functions below:

Describe the method of drawing the reciprocal of functions.

Graphs of Reciprocal Trigonometric Functions

y=csc x y=sec x y=cot x

Domain

Range

Period

Symmetry

Asymptotes

Example 1 Graph each of the reciprocal functions for 0≤ x≤2πa) y=2csc x+1

b) y=3 sec(2 x)−2

Review Write the equation of each:

a) A cosine function with amplitude 6 and period 5π2 .

b) Determine a sine and cosine equation that could represent the below graph.

c) a sine curve with a maximum of 1, minimum of –7, period ofπ2 , phase shift

π6 left, and

reflected.

d) Determine a sine and cosine equation that could represent the below graph.