Question

Find exact value for sin(pi/64).

Answer 1

This is the value my calculator got me:
0.00085673638834

Answer 2

there might not be an exact value - i believe calculators use something called mcclaurans series to work out sines - that value they return depends on how much memory they have.
that value might not be exact.

Answer 3

the value might be irrational

Answer 4

this will involve a lot of messy algebra. this might help: https://docs.google.com/viewer?a=v&q=cache:XsUK1ARQMScJ:www.maths.manchester.ac.uk/~cds/articles/trig.pdf+&hl=en&gl=uk&pid=bl&srcid=ADGEESjYNyDMVGAWUJutsgeT2vdoFmmli7y29FhIyfA0Dt3XdOsd0KcRgcHau6YYy85OQfChDXLYA1u5OgfmT4aU7E2h_cXVVasLQDD72JlGPbPFofhm48SDqsyPdtFt6Fkj9jkZej9s&sig=AHIEtbScCooDXUF8xK3_Wny4nddtzFPrhA