Trigonometric Inequality for Triangle Angles: -1 ≤ cosA cosB cosC ≤ 1/8

2017-10-14 02:54
This GeoGebra applet demonstrates the bounds of the product of the cosines of the three interior angles of a triangle, specifically the inequality -1 ≤ cosA cosB cosC ≤ 1/8. By dynamically adjusting the triangle's shape, users can visually observe the changes in the cosine product and verify the upper and lower bounds of this classic trigonometric inequality. The maximum value of 1/8 is achieved w