# How do you find the exact value of arcsin(1/3)?

Aug 14, 2018

You get my answer, from my explanation.

#### Explanation:

In general, any value is transcendental. Yet, define units like

second, ounce, foot, dollar, ... and express values, rounded to

nearest unit .

In the values of arcsin that $\in \left[- \frac{\pi}{2} , \frac{\pi}{2}\right]$, a particular value,

say 0.1 rad = (0.1/pi ) 180^o = 5.729577951...^o is transcendental.

For that matter,

arcsin ( 1/3) = 19.47122063...^o = 0.339836836909... rad.

In my opinion, all irrational values are transcendental that defy

rational form ( integer )/( integer ).

In classification of real numbers, Foundation Mathematical

Philosophy is not firm.