I'm a fan of Margaret Hamilton, but this is fake. This code is not by Margaret Hamilton and it's not from 1969.

Margaret Hamilton has stated that her first assignment was the abort code FORGETIT in the Apollo 5 program Sunburst, and this exact single-precision sine/cosine routine already existed in Aurora [an earlier version of the software] earlier than March 1966 -- FORGETIT wasn't added to Sunburst until later that year (maybe October-November).

Source: I talked to people who have researched the Apollo code in detail. For more information on the Apollo software releases, see: https://www.ibiblio.org/apollo/Luminary.html