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614 Molesworth’s pocket-book
TRIGONOMETRY.
Supplement of an Angle.
The supplement of an angle A = 180° — A.
Sin. (180 — A) = Sin. A.
Cosin. (18ft — A)
Tan. (180 - A)
Cotan. (180 — A)
Secant (180 — A)
Cosecant (180 — A)
Versin. (180 — A)
Coversin. (180 — A)
Values op the Trigonometrical Ratios.
For the more common angles, oo denotes infinity.
— Cosin. A.
— Tan. A.
— Cotan. A.
— Secant A.
Cosecant A.
2 — Versin. A.
Coversin. A.
Angle .. o 0 0 30 45 60 0 90 0 120 0 135 0 150 0 180
Sine .. .. 1 1 V3 a/3 1 1
0 2 V2 2 2 V 5 2
Cosine .. a/3 1 1 1 1 \J 3
1 2 V2 2 V2 2
Tangent .. 0 V3 1 V« 00 -1 V8 0
Cotangent.. 00 Ji 1 1 \/b 0 V3 -1 - J 2 OO
Secant .. 1 2 a/3 Vä" 2 X -2 ~a/2 2 a/3 -1
Cosecant .. OO 2 Vä 2 1 2 Js Ji 2 00
Versed sine 0 2— Vs V2-1 1 1 3 J2+1 2+a/3 2
2 V2 2 2 J2 2
Sin. 0 L A
-—- = tan. Ö;
Cos. 0
Sin.2 0 + cos.3 0 = 1
Tan. 0 X co tan. 0 =
Sin. 0 X cosec. 0 = ' . .
1 + cotan.’-’ 0 — cosec.s 0 ; Coversin. 0 — 1 — sin. ø
Trigonometrical Equivalents.
Cos. 0
——- = cotan. 0;
Sin. 0
Secant 0 X cosin. 0 = 1;
1 + tan.2 0 = sec.2 0
Versin. 0 = 1— cosin. 0