25. B 30° D C Fig. 4 a) In Fig. 4, AABC has an inscribed unit circle. AB= AC, AD 1 BC. E is the centre of the circle. BE bisects LABC. Let AD = h and BD = r. By using the formula of tan 20, or 2,2 ,²-1 h h-2 otherwise, prove that h www Hence deduce that ²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 38E
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in figure 4. triangle abc has been inscribed unit circle. AB = AC, AD bisects BC. E is the center of the circle. BE bisects angle ABC. Let AD = h and BD = r. By using the formula of tan2θ,
1. or otherwise prove that h = (2r^2)/((r^2)  hence deduce that r^2 = h/(h-2)
 
 
 
1.
the horizontal becomes.
25.
(b)
(a) In
B
V
30.
30°
*
E
D
16cm
IT
R-20cm-S
P
C
otherwise, prove that h =
Hence deduce that ²
-30°
Fig. 4
In Fig. 4,
Fig. 4,
AABC has an inscribed unit circle.
AB= AC, AD 1 BC. E is the centre of the
L
circle. BE bisects LABC. Let AD = h and
BD = r. By using the formula of tan 20, or
2,²
1²-1
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:1. the horizontal becomes. 25. (b) (a) In B V 30. 30° * E D 16cm IT R-20cm-S P C otherwise, prove that h = Hence deduce that ² -30° Fig. 4 In Fig. 4, Fig. 4, AABC has an inscribed unit circle. AB= AC, AD 1 BC. E is the centre of the L circle. BE bisects LABC. Let AD = h and BD = r. By using the formula of tan 20, or 2,² 1²-1 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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