2. Trigonometric Functions on Right Triangles

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 $\(\sin\)\(\theta\)=\(\frac{\sqrt{17}\)}{17}$, find the values of the five other trigonometric functions. Rationalize the denominators if necessary.

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 $AE$?

Given a right triangle where angle $a$ has an opposite side of length $3$, an adjacent side of length $4$, and a hypotenuse of length $5$, use the triangle to evaluate each function: $\sin \left(a\right)$, $\tan \left(a\right)$, and $\sec \left(a\right)$.

Which of the following statements is true about the tangent function $\tan$ in a right triangle?

What is a positive value of A in the interval $\(\left\)[0\(\degree\),90\(\degree\)\(\right\))$ that will make the following statement true? Express the answer in four decimal places.

$\(\sin\) A=0.9235$

Given the right triangle below, evaluate $\(\tan\)\(\theta\)$.