id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
american_scientific_journal-4481	Zohora, F.T.; Akter, M. Sharmin	A Method of Finding the Distance Between Two Places on the Surface of the Earth	2018	10	.pdf	application/pdf	2262	127	79	∴ sin𝐴𝐴 sin𝑎𝑎 = �(1 − cos2𝑎𝑎 − cos2𝑏𝑏 + cos2𝑐𝑐 + 2 cos𝑎𝑎 cos𝑏𝑏 cos 𝑐𝑐) sin𝑎𝑎 sin 𝑏𝑏 sin 𝑐𝑐 The symmetry of the result shows that ∴ sin𝐵𝐵 sin 𝑏𝑏 = �(1 − cos2𝑎𝑎 − cos2𝑏𝑏 + cos2𝑐𝑐 + 2 cos 𝑎𝑎 cos 𝑏𝑏 cos 𝑐𝑐) sin 𝑎𝑎 sin 𝑏𝑏 sin 𝑐𝑐 𝑎𝑎𝑎𝑎𝑎𝑎 sin𝐶𝐶 sin 𝑐𝑐 = �(1 − cos2𝑎𝑎 − cos2𝑏𝑏 + cos2𝑐𝑐 + 2 cos 𝑎𝑎 cos 𝑏𝑏 cos 𝑐𝑐) sin𝑎𝑎 sin 𝑏𝑏 sin 𝑐𝑐 So we have American Scientific Research Journal for Engineering, Technology, and Sciences (ASRJETS) sin(y2° − y1°) sin 𝑎𝑎 or, sin𝐴𝐴 = cos x2° sin(y2° − y1°) sin 𝑎𝑎 (2) Similarly, sin𝐵𝐵 = cos x1° sin(y2° − y1°) sin 𝑎𝑎 (3)	cache/american_scientific_journal-4481.pdf	txt/american_scientific_journal-4481.txt