A long branch of a pine tree is moving up and down in the wind such that the height (above ground) of a pine cone at the end fluctuates between 6 m and 7 m. The period of this movement of the pine cone is 3 seconds. Suppose that time t (in seconds) is defined so that at t = 1 second the pine cone is at height 7 m. Assume that the height (in metres) of the pine cone can be represented by a trigonometric function f(t). (a) What is the mid-level of the pine cone’s height? (b) What is the amplitude of f(t)? (c) Find the smallest value of t > 0 for which f(t) = 6. (d) Find a formula for f(t), showing all your reasonin
A long branch of a pine tree is moving up and down in the wind such that the height (above ground) of a pine cone at the end fluctuates between 6 m and 7 m. The period of this movement of the pine cone is 3 seconds. Suppose that time t (in seconds) is defined so that at t = 1 second the pine cone is at height 7 m. Assume that the height (in metres) of the pine cone can be represented by a trigonometric function f(t). (a) What is the mid-level of the pine cone’s height? (b) What is the amplitude of f(t)? (c) Find the smallest value of t > 0 for which f(t) = 6. (d) Find a formula for f(t), showing all your reasonin
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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A long branch of a pine tree is moving up and down in the wind such that the height (above ground) of a pine cone at the end fluctuates between 6 m and 7 m. The period of this movement of the pine cone is 3 seconds. Suppose that time t (in seconds) is defined so that at t = 1 second the pine cone is at height 7 m. Assume that the height (in metres) of the pine cone can be represented by a trigonometric
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(a) What is the mid-level of the pine cone’s height?
-
(b) What is the amplitude of f(t)?
-
(c) Find the smallest value of t > 0 for which f(t) = 6.
(d) Find a formula for f(t), showing all your reasonin
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