2. Trigonometric Functions on Right Triangles

If a sector of a circle has a central angle of $72°$, what is the ratio of the area of the sector to the area of the entire circle?

Given a right triangle DEF with right angle at $E$, which of the following trigonometric ratios are correct for angle $D$? Select the correct option.

Given that $\cos b$ = $\sin a$ and $ma=32°$ in a right triangle, what is the value of $mb$?

In the context of right triangles, how do rays $ab$ and $ac$ relate to the formation of an angle at vertex $a$?

Given a right triangle $△abc$, which of the following triangles represents the image after applying the sine function to angle $A$ to find the ratio of the length of the side opposite angle $A$ to the hypotenuse?

How many sides does a regular polygon have if each interior angle measures $160°$?

In triangle CBD, angle CBD has a measure of $140°$. If triangle CBD is a right triangle and angle ABD is the other non-right angle, what is the measure of angle ABD?

Which of the following sets of measurements could represent the side lengths in feet of a right triangle?

In a right triangle, if one of the acute angles measures $30°$, what is the measure of the other acute angle?

In a right triangle, if angles $b$ and $c$ are the two non-right angles, what is the value of the product $\sin b\times \tan c$ and the product $\sin c\times \tan b$?

In right triangle $ABC$, if angle $A$ measures $24°$ and angle $B$ measures $40°$, what is the measure of angle $C$?

In a right triangle, if one of the acute angles measures $34°$, what is the measure of the other acute angle?

Which of the following best describes the difference between a $\mathrm{tangent}$ and a $\mathrm{chord}$ in a $\mathrm{circle}$?

Given that $m\angle bgc=6x-13°$ and $m\angle cgf=4x+3°$, what is $m\angle bgf$?

Given a right triangle with an angle of $30°$ and an adjacent side of length $8$, which equation can be used to solve for the length $b$ of the side opposite the $30°$ angle?