44. opposite

following formula: sin θ =

45. sine θ = opp

hyp

46.

The sine function is the ratio of length of the "side opposite" to the length of the

hypotenuse. This relationship remains the same as long as the angle does not change.

Solve for sin θ in each of the two triangles below.

It can be seen the areas encompassed by the two triangles differ. However, since

remains the same, the ratio of length (side opposite to hypotenuse) must remain the

same.