Let Ln be the length of the regular n-gon On inscribed inside the unit circle with the point (1,0) always being one of the vertices. (a) Find the coordinates of the vertex of On nearest to (1,0) and above the x-axis (Hint: note that this point lies on the unit circle and makes angle 2-аxis). 27 with the (b) Let ln be lenght of a single side of On. Use the point calculated in (1), to calculate In. Use this and the fact that Ln = nln to calculate a formula for Ln: (c) Calculate lim Ln. Does this line up with what your intuition might suggest?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
icon
Related questions
Question
Please answer part b
2. Let Ln be the length of the regular n-gon On inscribed inside the unit circle with the
point (1,0) always being one of the vertices.
(a) Find the coordinates of the vertex of On nearest to (1,0) and above the x-axis
(Hint: note that this point lies on the unit circle and makes angle 2 with the
x-axis).
(b) Let ln be lenght of a single side of On. Use the point calculated in (1), to calculate
In. Use this and the fact that Ln = nln to calculate a formula for Ln.
(c) Calculate
lim Ln.
Does this line up with what your intuition might suggest?
Transcribed Image Text:2. Let Ln be the length of the regular n-gon On inscribed inside the unit circle with the point (1,0) always being one of the vertices. (a) Find the coordinates of the vertex of On nearest to (1,0) and above the x-axis (Hint: note that this point lies on the unit circle and makes angle 2 with the x-axis). (b) Let ln be lenght of a single side of On. Use the point calculated in (1), to calculate In. Use this and the fact that Ln = nln to calculate a formula for Ln. (c) Calculate lim Ln. Does this line up with what your intuition might suggest?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning