Explanation Given: The given figure is shown below Calculation: Let us name the points in the given figure as follows. Given that t increases in increments of π 6 . Given that, for point B , t = π 6 . Given that the terminal point is ( 3 2 , 1 2 ) . For point C , t = π 6 + π 6 = 2 π 6 t = π 3 The terminal point is ( 1 2 , 3 2 ) . For point D , t = π 3 + π 6 = 2 π + π 6 = 3 π 6 t = π 2 From the figure the terminal point is ( 0 , 1 ) . For point E , t = π 2 + π 6 = 3 π + π 6 = 4 π 6 t = 2 π 3 From the figure, we see that E is the reflection of point C over the y -axis. Hence it is same as point C , except for a sign change in x -coordinate. Thus the terminal point is ( − 1 2 , 3 2 ) . For point F , t = 2 π 3 + π 6 = 4 π + π 6 t = 5 π 6 From the figure, we see that F is the reflection of point B over the y -axis. Hence it is same as point B , except for a sign change in x -coordinate. Thus the terminal point is ( − 3 2 , 1 2 ) . For point G , t = 5 π 6 + π 6 = 5 π + π 6 = 6 π 6 t = π From the figure, the terminal point is ( − 1 , 0 ) . For point H , t = π + π 6 = 6 π + π 6 t = 7 π 6 From the figure, we see that H is the reflection of F over x – axis

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ISBN: 8220100548512

Author: Watson

Publisher: CENGAGE L

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Chapter 6.1, Problem 22E

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The value of t and the terminal point determined by t for each point in the figure, here t increases in increments of π6.

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Chapter 6.1, Problem 21E

Chapter 6.1, Problem 23E

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The value of t and the terminal point determined by t for each point in the figure, here t increases in increments of π 6 .

Solution Summary: The author explains how to find the value of t and the terminal point for each point in the figure.

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To find:

The value of t and the terminal point determined by t for each point in the figure, here t increases in increments of π6.

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Chapter 6 Solutions

The value of t and the terminal point determined by t for each point in the figure, here t increases in increments of π 6 .

Solution Summary: The author explains how to find the value of t and the terminal point for each point in the figure.

Concept explainers

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To find: The value of t and the terminal point determined by t for each point in the figure, here t increases in increments of π6.

Want to see the full answer?

Chapter 6 Solutions

To find:

The value of t and the terminal point determined by t for each point in the figure, here t increases in increments of π6.