Algebra-2

This diagram shows a right triangle where the right angle is at point B. The length of the hypotenuse AC is 41, the length of the side CB adjacent to angle C is 40, and the length of the side AB opposite angle C is 9. In this triangle, angle C is the angle for which we need to find the cosine value.

In a right triangle, the cosine (cos) is defined as the ratio of the side adjacent the angle to the hypotenuse. In this problem, for angle C, the side adjacent to the angle is CB with a length of 40, and the hypotenuse is AC with a length of 41.

Therefore, the sine of angle C is given by:

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