 |
| 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. |
| |
