Single Trigonometric Expression Reducer

Type in (sin-reduce n) or (cos-reduce n) and it will rewrite the corresponding thing in solely terms of sin x and cos x!
For instance, (sin-reduce 4) basically asks the computer to reduce sin 4x into a form with only sin x and cos x. Nifty but Niche.

Functionality

• Can take negative input like (sin-reduce -4)
• A Memoized Solution is provided in RecursiveReducer.rkt that uses Top-Down Memoization.
• A WAY better solution using DeMoivre's Theorem is also provided in DMTReducer.rkt, being able to compute (sin-reduce 10000)
• Basic Trig Algebra System in the form of TrigProd.rkt

Anti-Functionality

• Glorified Pascal's Triangle Calculator
• Does not know what the Pythagorean Identity is and thus won't simplify like that
• 0 IRL use cases

Things Used

• Racket