Can someone do a calculation on a TI Inspire CAS?

[Albert Chan]

(01-29-2019 07:58 AM)EdS2 Wrote:  ... it helps to have an internal value for pi which is twice the number of digits

We need even more digits of pi to handle bigger argument.
Example, assumed all calculation in 24 digits precision :

sin(411557987)
= sin(411557987 mod (2 * pi))
~ sin(411557987 mod (2 * 3.14159265358979323846264))
= sin(2.53671649518336E-9)
= 2.5367164951833599972794E-9

Rounded back to 12 digits, sin(X) = 2.53671649518E-9.
24 digits math only get 7 accurate digits !

Using spigot calculator:
> spigot --printf=%.12g sin(411557987)
2.53671605196e-09

see FSIN "bug": Intel underestimates error bounds by 1.3 quintillion