2. Trigonometric Functions on Right Triangles

Given a right triangle where angle $A$ is the right angle, what is the measure of angle $B$ if angle $C$ is $15°$?

In the context of right triangles, which of the following best describes when the $\tan$ function can be applied to relate a line and an arc?

Given a right triangle where the side opposite angle $\theta$ has length $3$, the adjacent side has length $4$, and the hypotenuse has length $5$, what is the equation for the trigonometric function $f\left(x\right)$ that represents $sin$ of angle $\theta$ in terms of these side lengths?

The ? side of a triangle is the side next to the reference angle and connected to the right angle.

If $\mathrm{angle}2$ is congruent to $\mathrm{angle}6$ in two right triangles, which of the following statements is true about the ratios of their corresponding sides?

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.