2. Trigonometric Functions on Right Triangles

In a right triangle, if the length of the adjacent side to angle $\theta$ is $12\mathrm{cm}$ and the length of the hypotenuse is $13\mathrm{cm}$, what is the value of $\cos \left(\theta \right)$?

Given a right triangle with angles measuring $15°$, $29°$, and $136°$, what is the measure of the smallest angle?

In a right triangle ABC with right angle at $C$, if $\mathrm{AD}$ is the altitude from vertex $A$ to the hypotenuse $\mathrm{BC}$, which of the following is true about the relationship between the segments $\mathrm{BD}$, $\mathrm{DC}$, and $\mathrm{AD}$?

Triangle $ABC$ is rotated $100°$ counterclockwise about point $P$ to create triangle $\mathrm{A\text{'}}\mathrm{B\text{'}}\mathrm{C\text{'}}$. What is the measure of angle $\angle \mathrm{C\text{'}}\mathrm{A\text{'}}\mathrm{B\text{'}}$?

Triangle xyz is reflected across the y-axis, and point $x$ has coordinates $(4,-5)$. What are the coordinates of $x\text{'}$ after the reflection?

Given a right triangle ABC with right angle at C, which of the following is the correct trigonometric ratio for $\angle A$?

In circle D, if $\angle EDH$ is congruent to $\angle EDG$, what is the measure of $\angle EDH$? Choose the correct answer below.

Which trigonometric functions have a domain of $[-1,1]$?

Given a right triangle where $m\angle ABC$ is one of the angles, which of the following could be the measure of $m\angle ABC$?

Which right triangle contains an acute angle where the $\sin$ and $\cos$ of that angle are equal?

If $m\angle ABC$ = $20°$ in a right triangle, what is the value of $\sin 20°$ rounded to two decimal places?

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?

In circle $O$, $AB$ and $CD$ are diameters. Arc $ED$ measures $170°$. What is the measure of arc $AE$?