Scientists use the same types of terms to describe ocean waves that we use to describe sine waves. The wave period is the time between crests. The wave height is the vertical distance from the trough to the crest. The accompanying figure shows a swell in a coordinate system. Write an equation for the swell, assuming that its shape is that of a sinusoid. Height (meters) Crest 8 Wavelength Trough 16 24 Period (seconds) + 32 40 48 y= (Type an equation using x as the variable. Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 67E
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Scientists use the same types of terms to describe ocean waves
that we use to describe sine waves. The wave period is the time
between crests. The wave height is the vertical distance from the
trough to the crest. The accompanying figure shows a swell in a
coordinate system. Write an equation for the swell, assuming that
its shape is that of a sinusoid.
Height (meters)
Crest
8
Wavelength
Trough
16 24
Period (seconds)
+
32 40 48
y=
(Type an equation using x as the variable. Simplify your answer. Type an exact answer, using as needed. Use
integers or fractions for any numbers in the expression.)
Transcribed Image Text:Scientists use the same types of terms to describe ocean waves that we use to describe sine waves. The wave period is the time between crests. The wave height is the vertical distance from the trough to the crest. The accompanying figure shows a swell in a coordinate system. Write an equation for the swell, assuming that its shape is that of a sinusoid. Height (meters) Crest 8 Wavelength Trough 16 24 Period (seconds) + 32 40 48 y= (Type an equation using x as the variable. Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.)
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