Find the value of the following.

sin 75^o 15’

We write sin 75° 15’ = sin 75° 12’ + 3’.

The relevant part of the sine table is given below.

From the table, we have

Sin 75° 12’ = 0.9668

Mean difference for 3’ = 0.0002

We know that mean difference is to be added in the case of sine.

∴ sin75° 15’ = 0.9668 + 0.0002 = 0.9670