Some Sine and Cosine Identities Obtained from Pascal's Triangle

Trigonometric identities were used to simplify expressions of trigonometric functions. Pascal's triangle is a triangular arrangement of binomial coefficients. Could it be possible to marry this two?

Dr. Christopher White and Dr. Christopher Schwaner explored a new way of using Pascal's triangle to find sine and cosine identities by developing formulas and showing procedures to prove how it could be possible. Read on and be amazed at what these brilliant authors came up with.