2. Trigonometric Functions on Right Triangles

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 $gfe$?

In circle t, if $\angle \mathrm{PTQ}$ is inscribed and $\angle \mathrm{RTS}$ is a central angle that intercepts the same arc, what is the measure of $\angle \mathrm{PTQ}$ if $\angle \mathrm{RTS}$ measures $66°$?

If point $z$ is equidistant from the sides of triangle $RST$, which of the following must be true?

Give all six trigonometric function values for each angle θ . Rationalize denominators when applicable.

sec θ = 5/4 , and θ is in quadrant IV

A regular polygon has $8$ sides. What is the measure of each interior angle?

In a right triangle EFD, angle $F$ is the right angle, and the lengths of sides $EF$ and $FD$ are $3$ and $4$ units respectively. What is the measure of angle $EFD$ (in degrees)?

Sketch an angle θ in standard position such that θ has the least positive measure, and the given point is on the terminal side of θ. Then find the values of the six trigonometric functions for each angle. Rationalize denominators when applicable. See Examples 1, 2, and 4. (0, ―3)

Given that $m\angle \mathrm{CED}=72°$ and $m\angle \mathrm{AEB}=7x-2°$, what is the value of $x$ if $m\angle \mathrm{CED}$ and $m\angle \mathrm{AEB}$ are complementary angles?

Which of the following correctly expresses the sine of angle $\theta$ in a right triangle in terms of the lengths of the sides?

Which equation correctly relates the measure of angle ${\theta }_1$ in a right triangle to the lengths of the opposite side $O$ and the hypotenuse $H$?

Given a right triangle where the measure of angle $\angle 6$ is $32°$, what is the sum $m\angle 4+m\angle 5$ in degrees?

In right triangle $△abc$, if side $ac$ = $5$ mm, side $ab$ = $3$ mm, and side $bc$ = $4$ mm, what is $\sin a$?

In a right triangle, what is the definition of $\sin$ of an angle $\theta$?

Which of the following expressions can be used to find the measure of angle $B$ in a right triangle if the lengths of the sides opposite and adjacent to $B$ are known?

Given a right triangle where angle $\theta$ is one of the non-right angles, the side opposite $\theta$ has length $3$, the side adjacent to $\theta$ has length $4$, and the hypotenuse has length $5$, what is the value of $tan\left(\theta \right)$?