A point starts at the location (−4,0) and moves CCW along a circle centered at (0,0) at a constant angular speed of 2 radians per second. Let t represent the number of seconds since the point has swept out since it started moving. Draw a diagram of this to make sure you understand the context! Suppose the point has traveled for 0.2 seconds (t=0.2). How many radians would need to be swept out from the 3-o'clock position [or from (4,0)] to get to the point's current position? Write an expression in terms of t to represent how many

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 point starts at the location (−4,0) and moves CCW along a circle centered at (0,0) at a constant angular speed of 2 radians per second. Let t represent the number of seconds since the point has swept out since it started moving. Draw a diagram of this to make sure you understand the context!

  1. Suppose the point has traveled for 0.2 seconds (t=0.2). How many radians would need to be swept out from the 3-o'clock position [or from (4,0)] to get to the point's current position?

  2. Write an expression in terms of t to represent how many radians would need to be swept out from the 3-o'clock position to get to the point's current position.

  3. Write a function g that determine's the point's x-coordinate in terms t.

    g(t)=

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