Convert a sum (or difference) of trigonometric functions into a product Algebra II

2\sin\left(\dfrac{\pi}{12}\right)\cos\left(\dfrac{\pi}{4}\right)

2\sin\left(\dfrac{\pi}{6}\right)\cos\left(\dfrac{\pi}{2}\right)

2\cos\left(\dfrac{\pi}{12}\right)\sin\left(\dfrac{\pi}{4}\right)

2\cos\left(\dfrac{\pi}{6}\right)\sin\left(\dfrac{\pi}{2}\right)

2\sin\left(\dfrac{\pi}{4}\right)\cos\left(\dfrac{\pi}{12}\right)

2\sin\left(\dfrac{\pi}{2}\right)\cos\left(\dfrac{\pi}{6}\right)

2\cos\left(\dfrac{\pi}{4}\right)\sin\left(\dfrac{\pi}{12}\right)

2\cos\left(\dfrac{\pi}{2}\right)\sin\left(\dfrac{\pi}{6}\right)

2\cos\left(\pi\right)\cos\left(\dfrac{\pi}{2}\right)

2\cos\left(\pi\right)\cos\left(2\pi\right)

2\sin\left(\pi\right)\sin\left(\dfrac{\pi}{2}\right)

2\cos\left(\pi\right)\sin\left(\dfrac{\pi}{2}\right)

4\sin^{2}\left(\dfrac{\pi}{3}\right)\cos\left(\dfrac{\pi}{4}\right)\cos\left(\dfrac{\pi}{12}\right)

4\sin^{2}\left(\dfrac{\pi}{3}\right)\cos\left(\dfrac{\pi}{4}\right)\sin\left(\dfrac{\pi}{12}\right)

4\sin^{2}\left(\dfrac{\pi}{3}\right)\sin\left(\dfrac{\pi}{4}\right)\cos\left(\dfrac{\pi}{12}\right)

4\sin^{2}\left(\dfrac{\pi}{3}\right)\sin\left(\dfrac{\pi}{4}\right)\sin\left(\dfrac{\pi}{12}\right)

2\cos\left(\dfrac{\pi}{6}\right)\cos\left(\dfrac{\pi}{18}\right)

2\cos\left(\dfrac{\pi}{3}\right)\cos\left(\dfrac{\pi}{9}\right)

\cos\left(\dfrac{\pi}{6}\right)\cos\left(\dfrac{\pi}{18}\right)

\cos\left(\dfrac{\pi}{3}\right)\cos\left(\dfrac{\pi}{9}\right)

-2\sin\left(\dfrac{19\pi}{70}\right)\sin\left(\dfrac{9\pi}{70}\right)

-2\sin\left(\dfrac{19\pi}{35}\right)\sin\left(\dfrac{9\pi}{35}\right)

2\sin\left(\dfrac{19\pi}{70}\right)\sin\left(\dfrac{9\pi}{70}\right)

2\sin\left(\dfrac{19\pi}{35}\right)\sin\left(\dfrac{9\pi}{35}\right)

2\sin\left(\dfrac{\pi}{4}\right)\cos\left(\dfrac{\pi}{5}\right)

-2\sin\left(\dfrac{\pi}{4}\right)\cos\left(\dfrac{\pi}{5}\right)

2\sin\left(\dfrac{\pi}{5}\right)\cos\left(\dfrac{\pi}{4}\right)

-2\sin\left(\dfrac{\pi}{5}\right)\cos\left(\dfrac{\pi}{4}\right)