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

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. (3 , ―4)

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 .

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?

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.