If you know the radius of the circle and the measure of an angle $\theta$ in standard position, which trigonometric function gives the ratio of the length of the side opposite $\theta$ to the hypotenuse in a right triangle?

Find the values of the six trigonometric functions for an angle in standard position having each given point on its terminal side. Rationalize denominators when applicable. (―8 , 15)

Find the values of the six trigonometric functions for an angle in standard position having each given point on its terminal side. Rationalize denominators when applicable. (6√3 , ―6)

An equation of the terminal side of an angle θ in standard position is given with a restriction on x. Sketch the least positive such angle θ , and find the values of the six trigonometric functions of θ . 12x + 5y = 0 , x ≥ 0 .

In the context of right triangles, what does the trigonometric function $\tan$ (often abbreviated as tg) of an angle represent?

Given a right triangle where angle $A$ is the right angle, what is the measure of angle $B$ if angle $C$ is $15°$?

Given a right triangle with an angle of $40°$ and a hypotenuse of length $10$, which equation can be used to find the length of the side adjacent to the $40°$ angle?

In right triangle $PQR$, if angle $Q$ is the right angle, side $PQ$ = $7$ and side $QR$ = $8$, what is the measure of angle $R$? Round to the nearest degree.

Given a right triangle with angle $gfe$, where the side adjacent to angle $gfe$ has length $a$ and the hypotenuse has length $h$, which equation can be used to find the measure of angle $gfe$?