Chapter 6: Q. 36 (page 435)

In Problems 35-38, find the amplitude, period, and phase shift of each function. Graph each function. Show at least two periods.
$y = - \cos (\frac{1}{2} x + \frac{π}{2})$

Short Answer

Expert verified

The amplitude, time period, phase shift is $- 1, 4 π, - π$ respectively and the graph is

Step by step solution

Given information

Given function $y = - \cos (\frac{1}{2} x + \frac{π}{2})$

Comparing with y=Acos(bx-∅)+B and calculating

Comparing, we get

$A = - 1 T = \frac{2 π}{\frac{1}{2}} T = 4 π \frac{ϕ}{ω} = - \frac{\frac{π}{2}}{\frac{1}{2}} \frac{ϕ}{ω} = - π$

Sketching the graph

The graph is

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In Problems 35-38, find the amplitude, period, and phase shift of each function. Graph each function. Show at least two periods.
$y = - \cos (\frac{1}{2} x + \frac{π}{2})$

Short Answer

Step by step solution

Given information

Comparing with y=Acos(bx-∅)+B and calculating

Sketching the graph

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In Problems 35-38, find the amplitude, period, and phase shift of each function. Graph each function. Show at least two periods.y=-cos12x+π2

Short Answer

Step by step solution

Given information

Comparing with y=Acos(bx-∅)+B and calculating

Sketching the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

Statistics

Pure Maths

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

In Problems 35-38, find the amplitude, period, and phase shift of each function. Graph each function. Show at least two periods.
$y = - \cos (\frac{1}{2} x + \frac{π}{2})$