1. Find the value of the following:(iii) sin 65 Degree 20′
1. Find the value of the following:(iii) sin 65 Degree 20′

(iii) sin 65o 20′

Solution:-

To find the value of sin 65o 20’,

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

In the vertical column headed by 20’ i.e. 20’ – 18’ = 2’ in the difference column, the value of 2’ in mean difference column is 2.

Then, value that we find in vertical column is 0.9085

Now adding the value of 18’ and 2’ = 0.9085 + 2

= 0.9087

Therefore, the value of sin 65o 20’ is obtained as under,

sin 65o 20’ = 0.0985 … [from table]

Mean difference for 2’ = 2 … [to be added]

Then, sin 65o 20’ = 0.9087