Given a right-angled triangle with legs 12 and 16. Find the cosine of the smaller angle of the triangle.

1) By the Pythagorean theorem, we find the hypotenuse: hypotenuse = root of (16 ^ 2 + 12 ^ 2) = 20.
2) Opposite the smaller side is a smaller angle, which means that the angle whose cosine we are looking for lies opposite the leg length 12, and the leg adjacent to this angle is 16. The cosine of the angle is equal to the ratio of the leg adjacent to the given angle to the hypotenuse.
16/20 = 0.8
Answer: 0.8