1. Find the value of the following: (ii) sin 71 Degree 31′
1. Find the value of the following: (ii) sin 71 Degree 31′

(ii) sin 71o 31′

Solution:-

To find the value of sin 71o 31’,

We read the table of natural sines in the horizontal line which begins with 35o

In the vertical column headed by 31’ i.e. 31’ – 30’ = 1’ in the difference column, the value of 1’ in mean difference column is 1.

Then, value that we find in vertical column is 0.9483

Now adding the value of 30’ and 1’ = 0.9483 + 1

= 0.9484

Therefore, the value of sin 71o 31’ is obtained as under,

sin 71o 31’ = 0.9483 … [from table]

Mean difference for 1’ = 1 … [to be added]

Then, sin 71o 31’ = 0.9484