Digital ACT Practice Questions

What are all vertical asymptotes of the rational function $f(x) = \frac{x - 3}{x^2 - 9}$?...

For all $x > 2$, which of the following is equivalent to $\frac{1}{x - 2} - \frac{2}{x + 3}$?...

Which of the following rational expressions has an oblique (slant) asymptote?...

Which of the following is equivalent to the expression $\frac{\sin^2 \theta}{1 - \cos \theta}$ for all $\theta$ where the denominator is defined?...

If $\tan \theta = -\frac{4}{3}$ and $\cos \theta > 0$, what is the value of $\sin \theta$?...

For what values of $x$ in the interval $0 \le x < 2\pi$ does $2\sin^2 x - \sin x - 1 = 0$?...

If $\sec \theta = \frac{5}{4}$ and $\frac{3\pi}{2} < \theta < 2\pi$, what is the value of $\csc \theta$?...

What is the maximum value of the function $f(x) = 4 - 7\cos(3x)$?...

A surveyor stands 100 feet from the base of a vertical tower on level ground. The angle of elevation from the ground to the top of the tower is $37^\circ$. If $...