22. A regular polygon with n sides is inscribed in a circle with radius 1. 180 a. Explain why m LAOX = 180 b. Show that AX - sin 180 B. c. Show that OX = cos 180 d. Show that the perimeter of the polygon is p = 2n• sin (2). 180 180 e. Show that the area of the polygon is A = n• sin • cos

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 33E
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Question
22. A regular polygon with n sides is inscribed in a circle with
radius 1.
180
a. Explain why m LAOX =
180
b. Show that AX - sin
180
B.
c. Show that OX = cos
180
d. Show that the perimeter of the polygon is p
= 2n• sin
(2).
180
180
e. Show that the area of the polygon is A = n• sin
• cos
Transcribed Image Text:22. A regular polygon with n sides is inscribed in a circle with radius 1. 180 a. Explain why m LAOX = 180 b. Show that AX - sin 180 B. c. Show that OX = cos 180 d. Show that the perimeter of the polygon is p = 2n• sin (2). 180 180 e. Show that the area of the polygon is A = n• sin • cos
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