Plane trigonometry, by S.L. Loney.

332 TRIGONOMETRY.
we have
64800 64800 |5 64800
sin 10"= 6 0
and cos 10" = 1 - (68o + 4 (8o)
Now 6480 = 000048481368...,
64800
64800) = 0000000023504...
and ( =64oo)=0 00000000000113928....
Hence, to twelve places of decimals, we have
sin 10" = -000048481368,
and Cos 0/ -0000000023504
and cos 10"= 1 -=1 -000000001175
= -999999998825.
284. Approximate value of the root of an
equation. The series of Art. 280 may also be used to
find an approximate value of the root of an equation.
The method will be best shewn by examples.
sin 0 1349
Ex. 1. If = 10 prove that the angle 0 is very nearly equal to
1 1350
-th radian.
15
sin 0
We know that, the smaller 0 is, the more nearly is 6 equal to
unity. Conversely in our case we see that 0 is small.