   Chapter 4.4, Problem 56PS Trigonometry (MindTap Course List)

8th Edition
Charles P. McKeague + 1 other
ISBN: 9781305652224

Solutions

Chapter
Section Trigonometry (MindTap Course List)

8th Edition
Charles P. McKeague + 1 other
ISBN: 9781305652224
Textbook Problem

Graph one complete cycle for each of the following. In each case, label the axes accurately and state the period and horizontal shift for each graph. y = tan ( 2 x + π 2 )

To determine

Plot one of the cycles of the given equation y=tan(2x+π2).

Explanation

Given:

y=tan(2x+π2)

Calculation:

One cycle is given by 02x+π2π

π2xπ2π4xπ4

A cycle starts at x=π4 and finishes at π4. Here the period is π2.

When dividing the period by 4 it gives 48. Thus the x-axis is incremented by π8 beginning from x=π4

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