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

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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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.
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