2. Trigonometric Functions on Right Triangles

In a right triangle, which of the following ratios represents the cosine of angle $\theta$?

Given a right triangle where side $\mathrm{AB}$ is $5$ units, side $\mathrm{BC}$ is $12$ units, and $\mathrm{AC}$ is the hypotenuse, which is the best approximation for the measure of angle $\mathrm{ABC}$?

If triangle $RST$ is an acute triangle, then the measure of angle $S$ must be

How many sides does a regular polygon have if each interior angle measures $144°$?

If $\tan \theta$ = $-\frac{3}{8}$, which of the following is the value of $\sin \theta$ if $\theta$ is in the fourth quadrant?

Given a right triangle where one of the acute angles is $x$ and the other acute angle is $y$, if $x=13°$, what is the measure of angle $y$?

Given a right triangle where angle $y$ is larger than angle $x$, what is the approximate value of $y-x$ if $y$ and $x$ are two of the triangle's angles? Choose the closest value.

A gardener uses a grow light to grow vegetables indoors. If $m\wedge 1=8°$ and $m\wedge 2=7x-4°$, what is the value of $x$ if the two angles are complementary?

In a right triangle, if angle $A$ measures $30°$, what is the measure of angle $B$?

In a right triangle, if $a$ and $c$ are the lengths of the leg and hypotenuse respectively, which of the following expressions represents $sin\theta$ where $\theta$ is the angle opposite side $a$?

Given a right triangle where $\angle VUW$ = $4x+6$ degrees and $\angle WUT$ = $6x-10$ degrees, what is the value of $x$?

In a right triangle, if two triangles have their corresponding acute angles equal, which angles are congruent to each other?

Rhombus WXYZ is graphed on a coordinate plane with vertices at $(0,0)$, $(4,0)$, $(2,3)$, and $(-2,3)$. What is the perimeter of the rhombus?

In a right triangle, if angle K measures $20°$ and angle L measures $40°$, what is the measure of arc KL on the unit circle corresponding to angle K?

A regular $22$-gon is a polygon with $22$ equal sides and angles. What is the measure of each interior angle of a regular $22$-gon? If necessary, round your answer to the nearest tenth. (Use the formula for each interior angle: $\frac{(n-2)\times 180}{n}$ where $n$ is the number of sides.)