Question

Describe one similarity and one difference between the sine ratio and the cosine ratio in terms of the sides of a right triangle.

Answer 1

Similarity: Both are ratios of a leg to the hypotenuse — for an acute angle θ in a right triangle, sin θ = (opposite side)/(hypotenuse) and cos θ = (adjacent side)/(hypotenuse).

Difference: Sin uses the side opposite the angle while cos uses the side adjacent to the angle (so they generally compare different legs to the same hypotenuse).