Given that $\sin \left(\theta \right)$ = $-\frac{12}{13}$, and that $\theta$ is in the third quadrant, what is the value of $\cos \left(\theta \right)$?

Which of the following sets of measurements could represent the side lengths in feet of a right triangle?

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 that $\cos \left(\theta \right)$ = $\frac{3}{10}$, what is the value of $\sin \left(\theta \right)$ if $\theta$ is an acute angle?

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?

In the context of right triangle trigonometry, which trigonometric function is represented by the equation $x=a\sin wt$?

Given a right triangle EGF with $\angle G$ as the right angle, if the side opposite $\angle E$ is $7$ units and the side adjacent to $\angle E$ is $9$ units, which is the best approximation for the measure of $\angle EGF$?

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.

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