There are other ways of proving the sine rule besides using the method outlined earlier where we made use of the formula for the area of a triangle. B In AABC.BD is the perpendicular from B to AC. By considering AABD and ABCD, find the length of BD, and hence, show that ain A sin c a (a) Can you show that- by considering the perpendicular from C to AB? in A (b) How do you show that for the case where one angle is obtuse? sin B sin 8 b b LA D C a a B
There are other ways of proving the sine rule besides using the method outlined earlier where we made use of the formula for the area of a triangle. B In AABC.BD is the perpendicular from B to AC. By considering AABD and ABCD, find the length of BD, and hence, show that ain A sin c a (a) Can you show that- by considering the perpendicular from C to AB? in A (b) How do you show that for the case where one angle is obtuse? sin B sin 8 b b LA D C a a B
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°.
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Transcribed Image Text:There are other ways of proving the sine rule besides using the method outlined earlier where we made use of
the formula for the area of a triangle.
B
In AABC, BD is the perpendicular from B to AC.
By considering AABD and ABCD, find the length of BD, and
hence, show that
ain A sin c
by considering the perpendicular from C to AB?
in A
(a) Can you show that-
(b) How do you show that
for the case where one angle is obtuse?
sin B
sin 8¹
sin A
b
b
LA
D
C
a
a
B
13
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