Find the value of cos 19 ∘ 59 '

0 ' 6 ' 12 ' 18 ' 24 ' 30 ' 36 ' 42 ' 48 ' 54 ' Mean Difference 0 . 0 ∘ 0 . 1 ∘ 0 . 2 ∘ 0 . 3 ∘ 0 . 4 ∘ 0 . 5 ∘ 0 . 6 ∘ 0 . 7 ∘ 0 . 8 ∘ 0 . 9 ∘ 1 2 3 4 5 19 ∘ 0 . 9403 5 Write 19 ∘ 59 ' = 19 ∘ 59 ' + 5 ' From the table we have, cos 19 ∘ 54 ' = 0 . 9403 Mean difference for 5 ' = 5 cos 19 ∘ 59 ' = 0 . 9398 (Mean difference to be subtracted for cosine)

Find the value of cos 19 ∘ 59 '

0 ' 6 ' 12 ' 18 ' 24 ' 30 ' 36 ' 42 ' 48 ' 54 ' Mean Difference 0 . 0 ∘ 0 . 1 ∘ 0 . 2 ∘ 0 . 3 ∘ 0 . 4 ∘ 0 . 5 ∘ 0 . 6 ∘ 0 . 7 ∘ 0 . 8 ∘ 0 . 9 ∘ 1 2 3 4 5 19 ∘ 0 . 9403 5 Write 19 ∘ 59 ' = 19 ∘ 59 ' + 5 ' From the table we have, cos 19 ∘ 54 ' = 0 . 9403 Mean difference for 5 ' = 5 cos 19 ∘ 59 ' = 0 . 9398 (Mean difference to be subtracted for cosine)

Find the value of tan 70 ∘ 13 '

0 ' 6 ' 12 ' 18 ' 24 ' 30 ' 36 ' 42 ' 48 ' 54 ' Mean Difference 0 . 0 ∘ 0 . 1 ∘ 0 . 2 ∘ 0 . 3 ∘ 0 . 4 ∘ 0 . 5 ∘ 0 . 6 ∘ 0 . 7 ∘ 0 . 8 ∘ 0 . 9 ∘ 1 2 3 4 5 70 ∘ 2 . 7776 26 Write 70 ∘ 13 ' = 70 ∘ 12 ' + 1 ' From the table we have, tan 70 ∘ 12 ' = 2 . 7776 Mean difference for 1 ' = 26 cos 70 ∘ 13 ' = 2 . 7802 (Mean difference to be added for tan)

Find the value of sin 38 ∘ 36 ' + tan 12 ∘ 12 '

sin 38 ∘ 36 ' + tan 12 ∘ 12 ' sin 38 ∘ 36 ' = 0 . 6239 tan 12 ∘ 12 ' = 0 . 2162 sin 38 ∘ 36 ' + tan 12 ∘ 12 ' = 0 . 8401

Find the value of tan 60 ∘ 25 ' - cos 49 ∘ 20 '

tan 60 ∘ 25 ' - cos 49 ∘ 20 ' tan 60 ∘ 25 ' = 1 . 7603 + 0 . 0012 = 1 . 7615 cos 49 ∘ 20 ' = 0 . 6521 - 0 . 0004 = 0 . 6517 tan 60 ∘ 25 ' - cos 49 ∘ 20 ' = 1 . 1098