Wentworth, G. A. (George Albert), 1835-1906 · Boston, Ginn & company · leaf 116
of decimals loge7. 4. Calculate to ten places of decimals loge10. 5. Calculate to five places of decimals log102, log10e, log10ll. CONSTRUCTION OF TABLES 127 SECTION XLV TRIGONOMETRIC FUNCTIONS OF SMALL ANGLES Let A OP (Fig. 74) be any angle less than 90° and x its cir-cular measure. Describe… … or ikfP < arc .4P<PT,sin x < x < tan x. Hence, dividing by sin x, 1 < — < sec x, sin x sin a;1 > > cos x. (i) Then lies between cos x and 1. If now the angle x is constantly diminished, cos x approachesthe value 1. Accordingly, the limit of smx as x approaches 0, is 1. In…
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