MathCastle
TrigonometryChallengeThe Unit Circle and Circular Functions

The Unit Circle and Circular Functions · Challenge problem

Evaluate the product exactly:

cos⁡π6⋅cos⁡5π6⋅cos⁡7π6⋅cos⁡11π6.\cos\dfrac{\pi}{6}\cdot\cos\dfrac{5\pi}{6}\cdot\cos\dfrac{7\pi}{6}\cdot\cos\dfrac{11\pi}{6}.