Trigonometric Tables


   
 
Natural Tangent Tables
An extract from the natural tangent tables is given below:
 
 
 
From the tables find the value of
 
(i) tan 51o (ii) tan 51o 18' (ii) tan 51o 23'
 
 
(i) tan 51o
 
Find angle 51o on the 'Natural Tangent' table in 'A' group. As there are no minutes, tan 51o = 1.235. Value is read horizontally, under the 0' column.
 
tan 51o = 1.235
 
 
The integral 1 is not repeated in every column. So look in column 0' for the integral part or in the preceding horizontal column in B group as the case may be.
 
(ii) tan 51o 18'
 
Look horizontally along 51o column and vertically under 18' in B group.
 
tan 51o 18' = 1.248
 
(iii) tan 51o 23'
 
As in (ii) read tan 51o 18' and for 5' read from C column.
 
 
 
Tangent ratio increases as angle increases.
 
To find q when tangent ratio is known
 
 
If find .
 
 
= 51o 23'
 
 
can be 51o 22' as well. Therefore, both answers are correct because mean difference for 4' and 5' is 3.
 
 
     
   
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