2) Discuss. Using a calculator to solve a certain problem, you need to find the sine of 4 rad. Your study partner uses his calculator and tells you that sin4=0.0697564737. On your calculator, you get sin 4 = - 0.7568024953 What has happened? Who is correct and what mistake was made by the other person.
2) Discuss. Using a calculator to solve a certain problem, you need to find the sine of 4 rad. Your study partner uses his calculator and tells you that sin4=0.0697564737. On your calculator, you get sin 4 = - 0.7568024953 What has happened? Who is correct and what mistake was made by the other person.
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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Transcribed Image Text:**Problem Discussion:**
Using a calculator to solve a problem, you need to find the sine of 4 radians. Your study partner uses his calculator and tells you that sin(4) = 0.0697564737. On your calculator, you get sin(4) = -0.7568024953.
**Task:**
What has happened? Who is correct, and what mistake was made by the other person?
---
**Analysis:**
The discrepancy lies in the mode of calculation: degrees vs. radians.
- **Your Calculation (sin(4) = -0.7568024953):**
- Likely done in radians, which is correct for 4 radians.
- **Partner's Calculation (sin(4) = 0.0697564737):**
- Likely done in degrees, leading to an incorrect result for a radian measure.
**Conclusion:**
You are correct. Your partner mistakenly used degrees instead of radians to perform the calculation.
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