Use a calculator to find the approximate value of the following expression if possible. Express your answers in degrees and round to the hundredths. sin ¹(-0.698) y sunny FI 7 Q O -44.27° O-0.78° 20 -1 Impossible since the value is not in the domain of sin (x). 315.73° F2 -Ó- @ 2 W S F3 Ő+ #M 3 E D F4 $ 4 R F5 F E Q Search % 5 F6 T G F7 ^ 6 A Y F8 & ✓ lo 7 H U F9 * 00 8 J F10 1 Ra ( 9 K F11 O G ) 0 F12 L P Prt Sc : + { [ Insert 11 ? Del Backspace 4) O 1 6/1
Use a calculator to find the approximate value of the following expression if possible. Express your answers in degrees and round to the hundredths. sin ¹(-0.698) y sunny FI 7 Q O -44.27° O-0.78° 20 -1 Impossible since the value is not in the domain of sin (x). 315.73° F2 -Ó- @ 2 W S F3 Ő+ #M 3 E D F4 $ 4 R F5 F E Q Search % 5 F6 T G F7 ^ 6 A Y F8 & ✓ lo 7 H U F9 * 00 8 J F10 1 Ra ( 9 K F11 O G ) 0 F12 L P Prt Sc : + { [ Insert 11 ? Del Backspace 4) O 1 6/1
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...
Related questions
Question
![**Finding the Approximate Value of an Inverse Sine Expression**
**Exercise:**
Use a calculator to find the approximate value of the following expression if possible. Express your answers in degrees and round to the hundredths.
\[ \sin^{-1}(-0.698) \]
**Options:**
- \( \quad \) \( -44.27^\circ \)
- \( \quad \) \( -0.78^\circ \)
- \( \quad \) Impossible since the value is not in the domain of \( \sin^{-1}(x) \)
- \( \quad \) \( 315.73^\circ \)
**Instructions:**
1. Enter the value \(-0.698\) in your calculator's inverse sine (sin\(^-1\) or arcsin) function.
2. Ensure your calculator is set to degrees mode.
3. Compute the result and round it to the nearest hundredth.
4. Compare your result with the given options to determine the correct answer.
**Discussion:**
The function \(\sin^{-1}(x)\), also known as arcsine, is defined for \(x\) values between \(-1\) and \(1\), inclusive. The output range of \( \sin^{-1}(x) \) is typically between \(-90^\circ\) and \(90^\circ\) in degrees. This ensures that the function is bijective and we obtain a unique output for a given input.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f130582-8262-45ba-b1cd-6680cc0034f3%2F5d631bc6-95e2-4da3-b1d1-ad780964d173%2Farba0mv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Finding the Approximate Value of an Inverse Sine Expression**
**Exercise:**
Use a calculator to find the approximate value of the following expression if possible. Express your answers in degrees and round to the hundredths.
\[ \sin^{-1}(-0.698) \]
**Options:**
- \( \quad \) \( -44.27^\circ \)
- \( \quad \) \( -0.78^\circ \)
- \( \quad \) Impossible since the value is not in the domain of \( \sin^{-1}(x) \)
- \( \quad \) \( 315.73^\circ \)
**Instructions:**
1. Enter the value \(-0.698\) in your calculator's inverse sine (sin\(^-1\) or arcsin) function.
2. Ensure your calculator is set to degrees mode.
3. Compute the result and round it to the nearest hundredth.
4. Compare your result with the given options to determine the correct answer.
**Discussion:**
The function \(\sin^{-1}(x)\), also known as arcsine, is defined for \(x\) values between \(-1\) and \(1\), inclusive. The output range of \( \sin^{-1}(x) \) is typically between \(-90^\circ\) and \(90^\circ\) in degrees. This ensures that the function is bijective and we obtain a unique output for a given input.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning