Yes, 355÷113 is very close to π, but is not equal to π
So how does it get things ‘right’ for cos(355÷113), but not right for sin(355÷113)?
And why is the error of π-355÷113 exactly the same as the error of sin(355÷113)?
I sense some fuckiness of how they handle π…
Also keep in mind that your calculator has limits. Real
π
is irrational but in a digital calculator it must be stored as a binary value in a chip, so it can’t have infinite precision, it’s not reallyπ
but a good-enough-for-most-uses approximation. The level of precision may vary from one calculator to another.You can figure this out if you do
π - 3
, then multiply the answer by 10, subtract 1, multiply by 10, and so on subtracting the whole number value and moving the decimal point until you run out of digits. On my TI-36Xπ
only has 12 digits:3.14159265359
From memory…
3.14159265358979323846264233832795028841971693993751