Find Largest Angle: Sine & Tangent to Within 2 SF

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Homework Help Overview

The discussion revolves around finding the largest angle for which the sine and tangent functions are approximately equal to within two significant figures. This problem falls under the subject area of trigonometry and approximation methods.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationship between sine and tangent for small angles and consider using Taylor series approximations to analyze their differences. There are inquiries about the methods to approach the problem and the need for initial attempts to be shared.

Discussion Status

The discussion is ongoing, with some participants offering hints about using Taylor series and emphasizing the importance of showing prior attempts. There is no explicit consensus on a method yet, but suggestions for exploration have been made.

Contextual Notes

Participants are encouraged to post in the appropriate forum and demonstrate their initial efforts, indicating a focus on collaborative learning and adherence to forum guidelines.

homeworkboy
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For small angles theta, the numerical value of sin theta is approximately the same as the

numerical value of tan theta.Find the largest angle for which sine and tangent agree to within

two significant figures.

thank you!
 
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anyone? please i would greatly appreciate it if someone helped me on this. Thank You
 
You could just grab your calculator and figure it out.
 
Some hints about getting help.
1. Post in the correct forum, we have homework help forums. Use them.
2. Show that you have at least tried something.


For your problem. Look at the Taylor series approximations of sin and Tan. Use enough of the series for each to capture the fact that they are different seriss. Take the difference.
 

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