BGSU
4.6 Graphs of Other Trigonometric Functions
Math 1300
The Graph of y = tan x and Its Characteristics
• Period:
• Domain:
• Range:
• Vertical asymptotes:
• An x−intercept:
• Odd function with origin symmetry
• Points on the graph 14 and 43 of the way between
consecutive asymptotes have y−coordinates of
−1 and 1, respectively.
The Graph of y = cot x and Its Characteristics
• Period:
• Domain:
• Range:
• Vertical asymptotes:
• An x−intercept:
• Odd function with origin symmetry
• Points on the graph 14 and 43 of the way between
consecutive asymptotes have y−coordinates of
1 and −1, respectively.
Example 1 Graph y = 3 tan 2x for − π4 < x <
3π
4 .
Exercise 1 P.581 on the textbook, #1 - #4, #13 - #16
Ying-Ju Tessa Chen
Last modified: October 26, 2014
1
BGSU
4.6 Graphs of Other Trigonometric Functions
Example 2 (#18) Graph two periods of the given cotangent function y =
1
2
Math 1300
cot x
The Graph of y = sec x and Its Characteristics
• Period:
• Domain:
• Range:
• Vertical asymptotes:
• Even function with y-axis symmetry
The Graph of y = csc x and Its Characteristics
• Period:
• Domain:
• Range:
• Vertical asymptotes:
• Odd function with origin symmetry
Example 3 (#36) Graph two periods of the given secant function y = sec x2
Ying-Ju Tessa Chen
Last modified: October 26, 2014
2