GENERAL BACKGROUND - GPS Satellite Surveying - page 341

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A

b

α

c

γ

C

β

B

[34

a

Lin
—
0.2
——
Sho
PgE

Figure A.1 The spherical triangle.

La w of Sine

[34

sin a
sin

sin b
sin

α =

(A.1)

β

sin a
sin

sin c
sin α =

(A.2)

γ

La w of Cosine for Sides

,
-

cos a = cos b cos c + sin b sin c cos α

cos b = cos c cos a + sin c sin a cos β (A.3)

.

cos c = cos a cos b + sin a sin b cos γ

Law of Cosine for Angles

,
-

cos α =− cos β cos γ + sin β sin γ cos a

cos β =− cos γ cos α + sin γ sin α cos b (A.4)

.

cos γ =− cos α cos β + sin α sin β cos c