2. Trigonometric Functions on Right Triangles

In a right triangle, if one of the acute angles measures $20°$, what is the measure of the other acute angle?

If θ is an acute angle and cos θ = 1/3, find csc (𝜋/2 - θ).

Given right triangle JKL, where angle $K$ is the right angle, if $\mathrm{JK}$ = $5$, $\mathrm{KL}$ = $12$, and $\mathrm{LJ}$ = $13$, what is the value of $sinJ$?

In a right triangle, if angle 1 is a right angle so $m\angle 1=90°$, what is the measure of angle 2 if the third angle is $45°$?

In right triangle $ABC$, angle $C$ is the right angle, side $AB$ is $10$ units, and side $BC$ is $6$ units. What is the measure of angle $BAC$? Round to the nearest whole degree.

Given a right triangle with an angle $x$, in which triangle is the value of $x$ equal to ${\tan }^{-1}\left(\frac{3.1}{5.2}\right)$?

Given two right triangles, triangle $PQR$ and triangle $STU$, with right angles at $Q$ and $T$ respectively, which angle has a sine ratio equal to $\frac{p}{q}$?

Given a right triangle with angle $LJK$ at vertex $J$, which equation can be used to find the measure of angle $LJK$ if the length of the side opposite $LJK$ is $a$ and the hypotenuse is $c$?

In a right triangle, if $\sin \theta$ = $\frac{3}{5}$, what is the value of $\cos \theta$?

In right triangle $JKL$, if $cos\left(K\right)$ = $\frac{24}{51}$, what is the length of the side adjacent to angle $K$ if the hypotenuse is $51$?

Given a right triangle QSR with right angle at S, if $qs$ is one leg and $qr$ is the hypotenuse, what is the measure of angle $qsr$ in degrees?

In a circle, the length of an arc intercepted by a central angle is $12mm$. If the radius of the circle is $8mm$, what is the measure of the central angle in radians?

Determine the signs of the trigonometric functions of an angle in standard position with the given measure. See Example 2. 84°

In a circle with center $O$ and radius $20$ inches, if the measure of angle $SOV$ is $72°$, what is the length of minor arc $SV$?