Chapter 5.2, Problem 1E

A right triangle with an angle $\theta$ is shown in the figure.

(a) Label the “opposite” and “adjacent” sides of $\theta$ and the hypotenuse of the triangle.

(b)The trigonometric functions of the angle $\theta$ are defined as follows:

$\mathrm{s}\mathrm{i}\mathrm{n}\theta =\frac{}{}$, $\mathrm{c}\mathrm{o}\mathrm{s}\theta =\frac{}{}$, $\mathrm{t}\mathrm{a}\mathrm{n}\theta =\frac{}{}$

(c) The trigonometric ratios do not depend on the size of the triangle. This is because all right triangles with the same acute angle $\theta$ are ______________.