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SIN COS TAN

Name: Anonymous 2006-11-10 16:57

Possible to do w/o calculator or not?

Name: Anonymous 2006-11-10 18:13

How do you think they were done before calculators?

Name: Anonymous 2006-11-10 18:15

use the taylor expansion.

Name: Anonymous 2006-12-05 7:59

tables
uber accurate graphs
and depending on angle addition/sum etc rules for trig involving known numbers ie sin cos tan 30-45-60...

Name: Anonymous 2006-12-05 9:39

emulation of a calculator on a logic gates-basis
abacus

Name: Anonymous 2006-12-09 3:23

use an infinate series.  calculate to number of decimal points desired.

sin(x) = sum as n goes from zero to infinity
((-1)^n)(x^(n+1))
-----------------
(2n+1)!

= (x)-((x^3)/3!)+((x^5)/5!)-((x^7)/7!)+...

and cos(x) = sum as n goes from zero to infinity

((-1)^n)(x^(2n))
----------------
(2n!)

won't write out the expansion of that one, though.  and it should be easy to see that you can get tan(x) from the two other equations.

Name: anonymous 2006-12-10 17:39

You can use tailor series, incredibly accurate trig tables, or depending on the radian/degree, you can do it in your head.
For example, cosine of pi/2 radians = sqrt(2)/2 (after your rationalize the denominator)

Name: anonymous 2006-12-10 18:48

I'm sorry. I posted the above thing, and it should be pi/4 radians, not pi/2 radians.

Don't change these.
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