y = cot (2x + 7) Which graph below shows two periods of the function? OA. O B. Oc. OD. 24 --t- -- 1
y = cot (2x + 7) Which graph below shows two periods of the function? OA. O B. Oc. OD. 24 --t- -- 1
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
Transcribed Image Text:y = cot (2x + T)
Which graph below shows two periods of the function?
O A.
В.
D.
1-
| 2-
|
- +5N-
Expert Solution
Step 1
We know cotx=0 at x=(2n+1)π/2 , n is an integer
So the graph of y=cotx touches the x axis at the points π/2, 3π/2,... and so on.
Then cot(2x+π)=0 implies 2x+π=(2n+1)π/2
Or x= (2n+1)π/2 - π = nπ- π/2, n is an integer.
So the curve y= cot(2x+π) touches the x axis at
x= -π/2, π/2, 3π/2... and so on.
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Solved in 3 steps with 1 images
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