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Finding Coterminal Angles In Exercises 25-28, determine two coterminal angles in radian measure (one positive and one negative) for each angle. (There are many correct answers). TM 25. (a) (b) ning 2π 3 π 3π 2 26. (a) R RIN. 2 3π 2 0 7π 6 0 (b) H T RIN. 2 3π 2 RIN. T 2 3π 2 0= 0 5π 4

Finding Coterminal Angles In Exercises 25-28, determine two coterminal angles in radian measure (one positive and one negative) for each angle. (There are many correct answers). TM 25. (a) (b) ning 2π 3 π 3π 2 26. (a) R RIN. 2 3π 2 0 7π 6 0 (b) H T RIN. 2 3π 2 RIN. T 2 3π 2 0= 0 5π 4

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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# Finding Coterminal Angles In Exercises 25-28, determine two coterminal angles in radian measure (one positive and one negative) for each angle. (There are many correct answers). ## Exercise 25: (a) θ = π/6 (b) θ = 2π/3 **Explanation:** Two diagrams of unit circles are provided. In diagram (a), a positive angle of π/6 is shown measured counterclockwise from the positive x-axis. In diagram (b), a positive angle of 2π/3 is shown made by the pink arc. ## Exercise 26: (a) θ = 7π/6 (b) θ = 5π/4 **Explanation:** Two diagrams of unit circles are provided. In diagram (a), a positive angle of 7π/6 is shown measured counterclockwise. In diagram (b), a positive angle of 5π/4 is illustrated similarly with a clockwise rotation depicted. ## Exercise 27: (a) 9π/4 (b) -2π/15 **Explanation:** For this exercise, angles are specified without diagrams. The task is to determine coterminal angles based on given values. ## Exercise 28: (a) -7π/8 (b) π/12 **Explanation:** Similarly, angles are denoted without visual aids. The objective is to find coterminal angles from the given values. # Estimating an Angle In Exercises 29 and 30, estimate the number of degrees in the angle. ## Exercise 29: **Diagram**: An angle is depicted by an arc between two rays. The angle is drawn with a pink curve. ## Exercise 30: **Diagram**: An angle larger than 90 degrees but less than 180 degrees is depicted by an arc between two rays, also highlighted with a pink curve. **Explanation:** For both exercises, visual angle representations require the student to estimate the angle's degree measure based on the given diagrams.
Transcribed Image Text:# Finding Coterminal Angles In Exercises 25-28, determine two coterminal angles in radian measure (one positive and one negative) for each angle. (There are many correct answers). ## Exercise 25: (a) θ = π/6 (b) θ = 2π/3 **Explanation:** Two diagrams of unit circles are provided. In diagram (a), a positive angle of π/6 is shown measured counterclockwise from the positive x-axis. In diagram (b), a positive angle of 2π/3 is shown made by the pink arc. ## Exercise 26: (a) θ = 7π/6 (b) θ = 5π/4 **Explanation:** Two diagrams of unit circles are provided. In diagram (a), a positive angle of 7π/6 is shown measured counterclockwise. In diagram (b), a positive angle of 5π/4 is illustrated similarly with a clockwise rotation depicted. ## Exercise 27: (a) 9π/4 (b) -2π/15 **Explanation:** For this exercise, angles are specified without diagrams. The task is to determine coterminal angles based on given values. ## Exercise 28: (a) -7π/8 (b) π/12 **Explanation:** Similarly, angles are denoted without visual aids. The objective is to find coterminal angles from the given values. # Estimating an Angle In Exercises 29 and 30, estimate the number of degrees in the angle. ## Exercise 29: **Diagram**: An angle is depicted by an arc between two rays. The angle is drawn with a pink curve. ## Exercise 30: **Diagram**: An angle larger than 90 degrees but less than 180 degrees is depicted by an arc between two rays, also highlighted with a pink curve. **Explanation:** For both exercises, visual angle representations require the student to estimate the angle's degree measure based on the given diagrams.
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