2. Trigonometric Functions on Right Triangles

A regular polygon has $8$ sides. What is the measure of each interior angle?

In a right triangle EFD, angle $F$ is the right angle, and the lengths of sides $EF$ and $FD$ are $3$ and $4$ units respectively. What is the measure of angle $EFD$ (in degrees)?

Given that $m\angle \mathrm{CED}=72°$ and $m\angle \mathrm{AEB}=7x-2°$, what is the value of $x$ if $m\angle \mathrm{CED}$ and $m\angle \mathrm{AEB}$ are complementary angles?

Which of the following correctly expresses the sine of angle $\theta$ in a right triangle in terms of the lengths of the sides?

Which equation correctly relates the measure of angle ${\theta }_1$ in a right triangle to the lengths of the opposite side $O$ and the hypotenuse $H$?

Given a right triangle where the measure of angle $\angle 6$ is $32°$, what is the sum $m\angle 4+m\angle 5$ in degrees?

In right triangle $△abc$, if side $ac$ = $5$ mm, side $ab$ = $3$ mm, and side $bc$ = $4$ mm, what is $\sin a$?

In a right triangle, what is the definition of $\sin$ of an angle $\theta$?

Which of the following expressions can be used to find the measure of angle $B$ in a right triangle if the lengths of the sides opposite and adjacent to $B$ are known?

Given a right triangle where angle $\theta$ is one of the non-right angles, the side opposite $\theta$ has length $3$, the side adjacent to $\theta$ has length $4$, and the hypotenuse has length $5$, what is the value of $tan\left(\theta \right)$?

Given a right triangle where one of the acute angles is $\theta$, and the side opposite $\theta$ has length $3$, the side adjacent to $\theta$ has length $4$, and the hypotenuse has length $5$, what are the exact values of the six trigonometric ratios for angle $\theta$?

Given a right triangle with angles $A$, $B$, and $C$, where $C$ is the right angle, if $m\angle A=m\angle B$ and $m\angle A+m\angle C=m\angle D$, what is the measure of angle $D$?

Given a right triangle where angles $A$ and $B$ are acute and $A$ is supplementary to $B$, which of the following relationships is false?

Given a right triangle with an angle of $30°$ and opposite side $a$ and adjacent side $b$, which equation can be used to solve for $b$? $\tan (30°)$ =