Find the period and the amplitude. y = cos (8x/17) STEP 1: Rewrite the trigonometric expression in the form y = a cos (bx). y = cos (8x/17) = - cos ((8/17) STEP 2: Find the period of y by dividing 2 by b. x) 17π 4 Does this period represent a horizontal stretching of the graph of y = a cos (x) or a horizontal shrinking of the graph of y = a cos (x)? horizontal stretching horizontal shrinking STEP 3: Will the amplitude of y be positive or negative? Positive, because both 8 and 17 are positive. Positive, because the leading coefficient of y is negative. Negative, because both 8 and 17 are positive. Positive, because amplitude measures a distance. Negative, because the leading coefficient of y is negative. Find the amplitude of y. 1
Find the period and the amplitude. y = cos (8x/17) STEP 1: Rewrite the trigonometric expression in the form y = a cos (bx). y = cos (8x/17) = - cos ((8/17) STEP 2: Find the period of y by dividing 2 by b. x) 17π 4 Does this period represent a horizontal stretching of the graph of y = a cos (x) or a horizontal shrinking of the graph of y = a cos (x)? horizontal stretching horizontal shrinking STEP 3: Will the amplitude of y be positive or negative? Positive, because both 8 and 17 are positive. Positive, because the leading coefficient of y is negative. Negative, because both 8 and 17 are positive. Positive, because amplitude measures a distance. Negative, because the leading coefficient of y is negative. Find the amplitude of y. 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°.
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Transcribed Image Text:Find the period and the amplitude.
y = cos (8x/17)
STEP 1: Rewrite the trigonometric expression in the form y = a cos (bx).
y = cos (8x/17) = -
cos ((8/17)
STEP 2: Find the period of y by dividing 2 by b.
x)
17π
4
Does this period represent a horizontal stretching of the graph of y = a cos (x) or a horizontal shrinking of the graph of y = a cos (x)?
horizontal stretching
horizontal shrinking
STEP 3: Will the amplitude of y be positive or negative?
Positive, because both 8 and 17 are positive.
Positive, because the leading coefficient of y is negative.
Negative, because both 8 and 17 are positive.
Positive, because amplitude measures a distance.
Negative, because the leading coefficient of y is negative.
Find the amplitude of y.
1
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