Find Largest Angle: Sine & Tangent to Within 2 SF

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The discussion focuses on finding the largest angle where the sine and tangent functions are approximately equal to within two significant figures. Participants suggest using calculators for quick solutions and emphasize the importance of posting in the correct forum for homework help. They recommend demonstrating prior attempts to solve the problem to receive more effective assistance. Additionally, hints are provided to explore Taylor series approximations of sine and tangent to analyze their differences. The conversation underscores the need for a methodical approach to solving mathematical problems.
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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.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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