25. B m D Fig. 4 (a) In Fig. 4, AABC has an inscribed unit circle. AB= AC, AD LBC. E is the centre of the circle. BE bisects ZABC. Let AD = h and BD = r. By using the formula of tan 20, or 2r² otherwise, prove that h = Hence deduce that ² B 2 p². h h-2

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
Question

The only instruction my teacher gave was to plug in a value into tan(2θ) to prove the formulas in part A. 

25.
B
E
D
Fig. 4
(a) In Fig. 4, AABC has an inscribed unit circle.
AB= AC, AD LBC. E is the centre of the
circle. BE bisects ZABC. Let AD = h and
BD = r. By using the formula of tan 20, or
2r²
2
otherwise, prove that h =
Hence deduce that ²
B
h
h-2
(b) A circular cone, with base radius r and height
h, has an inscribed unit sphere. Find the volume
of the cone in terms of h.
Transcribed Image Text:25. B E D Fig. 4 (a) In Fig. 4, AABC has an inscribed unit circle. AB= AC, AD LBC. E is the centre of the circle. BE bisects ZABC. Let AD = h and BD = r. By using the formula of tan 20, or 2r² 2 otherwise, prove that h = Hence deduce that ² B h h-2 (b) A circular cone, with base radius r and height h, has an inscribed unit sphere. Find the volume of the cone in terms of h.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning