Find the slope of the tangent line to the sine function at the origin. y 2 -2- KIN 2 y = sin(3 x) ÄA Зл 2 π X Compare these values with the number of complete cycles in the interval [0, 2π]. O The slope is equal to the number of cycles in the interval. The slope is twice the number of cycles in the interval. O There is no relationship between slope and number of cycles. The slope squared gives the number of cycles in the interval. O The slope is half the the number of cycles in the interval.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
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Find the slope of the tangent line to the sine function at the origin.
y
2
-2-
KIN
2
y = sin(3 x)
AA
Зл
2
π
X
Compare these values with the number of complete cycles in the interval [0, 2π].
O The slope is equal to the number of cycles in the interval.
The slope is twice the number of cycles in the interval.
O There is no relationship between slope and number of cycles.
The slope squared gives the number of cycles in the interval.
O The slope is half the the number of cycles in the interval.
Transcribed Image Text:Find the slope of the tangent line to the sine function at the origin. y 2 -2- KIN 2 y = sin(3 x) AA Зл 2 π X Compare these values with the number of complete cycles in the interval [0, 2π]. O The slope is equal to the number of cycles in the interval. The slope is twice the number of cycles in the interval. O There is no relationship between slope and number of cycles. The slope squared gives the number of cycles in the interval. O The slope is half the the number of cycles in the interval.
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