Explanation Given information: t increases from π to 2 π on the unit circle Explanation: When t = π in figure (a), point P is at ( − 1 , 0 ) The co-ordinates of P are ( cos t , sin t ) , that is, sin t is the y co-ordinate of P At t = π value of cos t is 0 . Figure (b) shows that as t increases from π , the point P moves in the counter clock wise direction around the unit circle and the value of sin t decreases. At t = 3 π 2 value of sin t is − 1 in figure (c)

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ISBN: 9780137638826

Author: Goldstein

Publisher: PEARSON

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

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Chapter 8.2, Problem 36E

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The description of the movement of sint as t increases from π to 2π on the unit circle.

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Chapter 8.2, Problem 35E

Chapter 8.2, Problem 37E

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The description of the movement of sin t as t increases from π to 2 π on the unit circle.

Solution Summary: The author analyzes how the value of mathrmsint decreases from 0 to -1, as the point P moves in the counter clockwise direction around the unit circle

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The description of the movement of sint as t increases from π to 2π on the unit circle.

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Chapter 8 Solutions