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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 41E
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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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