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To find A when cot A = .4336.

cot 66° 30' =
cot A

.4348

=

.4336

=

= 12

tabular diff. for 10' 34; diff.

12 of 10'3'.5... A 66° 33'.5.

.. addition

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To find sin 36° 23'.

= =

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Ex. 1. Compare the four-place mantissas of the logarithms of several numbers with the corresponding five-place mantissas. Make a similar comparison between the four-place and five-place tables in the case of the trigonometric ratios of several angles.

Ex. 2. In the four-place table of natural sines, etc., find sin 37° 25', tan 40° 30', cot 27° 30', cos 31° 15', sin 50° 20′, tan 63° 25', cot 74° 25', cos 51° 35'. Find the logarithms of these numbers by means of Table I. Compare the results with the values given for the logarithmic sines, etc., in Table II. and the second of Tables III.

I.

COMMON LOGARITHMS OF NUMBERS

GIVING CHARACTERISTICS AND MANTISSAS OF LOGARITHMS OF NUMBERS FROM 1 TO 100, AND MANTISSAS ONLY OF NUMBERS FROM 100 To 10000.

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107

938

979

108

03 342

383

109

743 782

110

111

112

113

05 308

346

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123

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137

704

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925 956 32 *239 *270 31

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548

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905

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89

D

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188

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646

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