Lets do a little math. For a table of every possible radian to nine significant digits, that means a floating point word must be stored for each possible value for sin() and cos(). Also another table for arc sine and arc cosine. So that is something in excess of ten to the ninth power words stored in a read only memory. Are you suggesting a late 1970s calculator had a multiple Gigabit memory chip in 1970? These numbers suggest your table idea is not possible.
However the calculation of a numerical series involves nothing more that repeated multiplication's and additions until the answer converges - for any radian value - any of the
10^9th possible radian values. That series calculation was easy even for a mid-1970s calculator to perform. It's just a chain of multiplications and additions. IOW once we apply numbers, then tables for calculating trig functions make no sense. AND using numerical series for calculate sin, cos, natural exponentials, logarithms, etc was possible with 1970 calculator technology.Meanwhile, when a calculator does a sin() or cos() function, there is a calculation delay. If using tables, then no such delay would exist. Just another problem with an idea that tables are used to calculate sin() and cos() from radians.
How do you rec> It usually is not that simple. While the usual Maclaurin series for