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i 7 6 TRIGONOMETRY.
Solutions of Right=Angled Triangles.
Fig. 18.
Right-angled triangles (see Fig. 18)
may be solved by the following for-
mulas :
Solving for Any Side.
A = C X sine a — B X tang, a =
B — C X cos. a — A X cot. a =
C = A X cosec. a = B X sec. « =
C
cosec. #
C
sec. #
A
sine«
^B_
cot. #
A
tang.
B
COS. tf
^ = Vc2 — ^2
Solving for Any Function or for Any Angle.
Sin. a = —q- Tang. a — -^~ Sec. # = -g-
Cos. a = —q- Cot. # = -^- Cosec.£= —^-
Sin. a = cos. b
Sin. £ = cos. a
Tang. a = cot. <£
Tang, b = cot. #
Sec. a = cosec. <£
Sec. £ = cosec. a
Sin. £ = —(=r Tang. & = -£- Sec. £ = -j-
Cos. £ = —q- Cot. £ = —jg- Cosec. b = -g-
Angle a = 90° — £. Angl
Solving for Area.
A X B
eb = 90° — a.
Area
2
C 2
X sin. # X cos. a C 2
X cos. b X sin. £
B 2
X tang, a >4
2
X tang. 3
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