AC 2 BC X AC BC2+AC2 AB2 BC cos B+(AC9-BC sin B) BC sin2 B+cos B√ √ (AC2-BC-sin B) 107. BC sin B+cot B (AC - BC sin2 B) 106. + 90. sin A (AC cos A+BC-AC sino A) BC 99 ACsin A+ cos A/(BC-AC 2sin 2 A) BC 108. AC cos A+√(BC-AC sin? A) AC sin Acot A√(BC2 — AC2 sin 2 A) 2 TABLE III. Analytical Expressions for the Trigonometrical Lines of a Spherical Triangle ABC. 26. cos BC = cos A sin AB sin AC + cos AB cos AC 366 367 10. cos B = cos AC sin A sin C-cos A cos C cos AB-cos BC cos AC sin AB cot BC-cos AB cos B 28. cos AC = cos B sin BC sin AB + cos BC cos AB. 11. cos C sin BC sin AC 29. cos AB = 13. tang A= 12. cos C = cos AB sin A sin B-cos A cos B sin B cos C+cos A cos B sin A sin B cos C sin BC sin AC + cos BC cos AC sin AB sin B cot A+ cos B cos AB sin A cot C+cos A cos AC sin BC 36. tang AB= sin B cot C+ cos B cos BC |