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What is the reference angle for a positiu e measure of 3862 degrees ? *

What is the reference angle for a positiu e measure of 3862 degrees ? *

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**22. What is the reference angle for a positive angle measure of 3862 degrees?** When determining the reference angle for a given angle, it is important to first reduce the angle to its equivalent within a standard circle of 360 degrees. Once the equivalent angle is found, different rules apply to find the reference angle based on which quadrant the angle lies. To find the equivalent angle for 3862 degrees: 1. Divide 3862 by 360 to determine the number of complete circles (each full circle is 360 degrees). 2. \( 3862 \div 360 = 10 \) with a remainder of \( 3862 - (360 \times 10) = 62 \) degrees. So, 3862 degrees is equivalent to 62 degrees. Since 62 degrees is already positive and less than 90 degrees (falling in the first quadrant), the reference angle is the same as the equivalent angle. **Reference angle for 3862 degrees is 62 degrees.** Note: Reference angles are always measured between the terminal side of the angle and the closest x-axis, and they are always positive.
Transcribed Image Text:**22. What is the reference angle for a positive angle measure of 3862 degrees?** When determining the reference angle for a given angle, it is important to first reduce the angle to its equivalent within a standard circle of 360 degrees. Once the equivalent angle is found, different rules apply to find the reference angle based on which quadrant the angle lies. To find the equivalent angle for 3862 degrees: 1. Divide 3862 by 360 to determine the number of complete circles (each full circle is 360 degrees). 2. \( 3862 \div 360 = 10 \) with a remainder of \( 3862 - (360 \times 10) = 62 \) degrees. So, 3862 degrees is equivalent to 62 degrees. Since 62 degrees is already positive and less than 90 degrees (falling in the first quadrant), the reference angle is the same as the equivalent angle. **Reference angle for 3862 degrees is 62 degrees.** Note: Reference angles are always measured between the terminal side of the angle and the closest x-axis, and they are always positive.
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