This exercise will have you compute sin-¹ (sin(23¹ ¹)). 1. Step 1: Get a "reference angle". (1a) Use long division to express 234 as (Whole number), + sin¯¹ (sin(²³4¹)) = sin¯¹ (sin((Whole number) + remainder- Conclude that 5 remainder- 5 (1b) If the "whole number" above is even then it corresponds to some number of full revolutions and does not affect sine. If it is odd then it flips sine by a negative sign. Use this to determine the + in the next line 234T *sin¯¹ (sin ( 2³4¹ )) = ±sin¯¹ (sin(remainder-x)) = sin¯¹ (sin(± remainder-x)) 5 2. Next recall that the range of sin is []. Can you find an angle in this range which has the same sine (y-value on the unit circle) as the result of the previous prompt?
This exercise will have you compute sin-¹ (sin(23¹ ¹)). 1. Step 1: Get a "reference angle". (1a) Use long division to express 234 as (Whole number), + sin¯¹ (sin(²³4¹)) = sin¯¹ (sin((Whole number) + remainder- Conclude that 5 remainder- 5 (1b) If the "whole number" above is even then it corresponds to some number of full revolutions and does not affect sine. If it is odd then it flips sine by a negative sign. Use this to determine the + in the next line 234T *sin¯¹ (sin ( 2³4¹ )) = ±sin¯¹ (sin(remainder-x)) = sin¯¹ (sin(± remainder-x)) 5 2. Next recall that the range of sin is []. Can you find an angle in this range which has the same sine (y-value on the unit circle) as the result of the previous prompt?
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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Question
![This exercise will have you compute sin-¹ (sin(234)
4)).
1. Step 1: Get a "reference angle".
(1a) Use long division to express 234 as (Whole number) +
as (Whole number) + remainder.. Conclude that
sin-¹ (sin(234)) = sin-¹ (sin((Whole number) +
5
remainder. ))
(1b) If the "whole number" above is even then it corresponds to some number of full revolutions and does not affect
sine. If it is odd then it flips sine by a negative sign. Use this to determine the ± in the next line
*sin-¹ (sin(234¹)) = ±sin¯¹ (sin(remainder-7)
¹ )) = sin¯¹ (sin(± remainder-
5
5
2. Next recall that the range of sin is []. Can you find an angle in this range which has the same sine (y-value
on the unit circle) as the result of the previous prompt?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09008160-ca83-47a0-950b-a1ddc545b379%2Fca06dc37-a4f4-48fb-a452-d5e8a3c0295a%2Fluvespq_processed.png&w=3840&q=75)
Transcribed Image Text:This exercise will have you compute sin-¹ (sin(234)
4)).
1. Step 1: Get a "reference angle".
(1a) Use long division to express 234 as (Whole number) +
as (Whole number) + remainder.. Conclude that
sin-¹ (sin(234)) = sin-¹ (sin((Whole number) +
5
remainder. ))
(1b) If the "whole number" above is even then it corresponds to some number of full revolutions and does not affect
sine. If it is odd then it flips sine by a negative sign. Use this to determine the ± in the next line
*sin-¹ (sin(234¹)) = ±sin¯¹ (sin(remainder-7)
¹ )) = sin¯¹ (sin(± remainder-
5
5
2. Next recall that the range of sin is []. Can you find an angle in this range which has the same sine (y-value
on the unit circle) as the result of the previous prompt?
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