2. Trigonometric Functions on Right Triangles

Given a right triangle with vertices labeled x, z, and w, and angle $xzw$, what is the cosine ratio of angle $xzw$?

Given a right triangle with angle $A$ equal to $50°$ and hypotenuse $c$, which equation can be used to solve for $c$ if the side opposite angle $A$ is $a$ and the side adjacent is $b$?

Given a right triangle, which of the following is equal to $\sin (38°)$?

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?