Exercises 4.5. 1. Use Corollary 4.30 to find the area of the hyperbolic triangle with given vertices. (a) O = (0,0), P = (½,√√) and Q = (½, −√√). 12 (You should already know the angles from previous exercises!) (b) O=(0,0), P = = (1,0), Q = (0, 1). r r 3r (c) P = (r,0), Q = ( = ( — 12, ✓ 3³), R = ( — — 2, - √³) where 0 < r < 1. 2
Exercises 4.5. 1. Use Corollary 4.30 to find the area of the hyperbolic triangle with given vertices. (a) O = (0,0), P = (½,√√) and Q = (½, −√√). 12 (You should already know the angles from previous exercises!) (b) O=(0,0), P = = (1,0), Q = (0, 1). r r 3r (c) P = (r,0), Q = ( = ( — 12, ✓ 3³), R = ( — — 2, - √³) where 0 < r < 1. 2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
Question
![Exercises 4.5. 1. Use Corollary 4.30 to find the area of the hyperbolic triangle with given vertices.
(a) O = (0,0), P
=
(½,√√) and Q = (½, −√√).
12
(You should already know the angles from previous exercises!)
(b) O=(0,0), P = = (1,0), Q = (0, 1).
r
r
3r
(c) P = (r,0), Q = (
= ( — 12, ✓ 3³), R = ( — — 2, - √³) where 0 < r < 1.
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F833bf7b1-3e6b-4749-8e88-54090320a3f5%2F4563ed05-0d3c-42ae-ae23-472327a5b9e9%2Fnbd731_processed.png&w=3840&q=75)
Transcribed Image Text:Exercises 4.5. 1. Use Corollary 4.30 to find the area of the hyperbolic triangle with given vertices.
(a) O = (0,0), P
=
(½,√√) and Q = (½, −√√).
12
(You should already know the angles from previous exercises!)
(b) O=(0,0), P = = (1,0), Q = (0, 1).
r
r
3r
(c) P = (r,0), Q = (
= ( — 12, ✓ 3³), R = ( — — 2, - √³) where 0 < r < 1.
2
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