Natural Tangent Tables

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An extract from the natural tangent tables is given below:

From the tables find the value of

(i) tan 51^o (ii) tan 51^o 18^' (ii) tan 51^o 23^'

(i) tan 51^o

Find angle 51^o on the 'Natural Tangent' table in 'A' group. As there are no minutes, tan 51^o = 1.235. Value is read horizontally, under the 0^' column.

tan 51^o = 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 51^o 18^'

Look horizontally along 51^o column and vertically under 18^' in B group.

tan 51^o 18^' = 1.248

(iii) tan 51^o 23^'

As in (ii) read tan 51^o 18^' and for 5^' read from C column.

Tangent ratio increases as angle increases.

To find q when tangent ratio is known

If find .

= 51^o 23^'

can be 51^o 22^' as well. Therefore, both answers are correct because mean difference for 4^' and 5^' is 3.