5. Functions, Transformations and Trigonometry

Trigonometric Functions — Quiz

Test your understanding of trigonometric functions with 5 practice questions.

Practice Questions

Question 1

A sinusoidal function is represented by $f(x) = A\sin(Bx + C) + D$. If the function has a maximum value of $15$ and a minimum value of $5$, and its period is $\frac{\pi}{2}$, what are the values of $A$ and $B$?

Question 2

The terminal side of an angle $\theta$ in standard position passes through the point $(-8, 15)$. What is the exact value of $\tan(\theta)$?

Question 3

If $\cos(\theta) = -\frac{3}{5}$ and $\theta$ is in Quadrant III, what is the exact value of $\sin(\theta)$?

Question 4

Which of the following transformations would change the amplitude of the function $y = \cos(x)$ to $4$ and introduce a phase shift of $\frac{\pi}{3}$ to the left?

Question 5

A Ferris wheel has a radius of $25$ meters and completes one full rotation every $50$ seconds. If a rider starts at the lowest point (at ground level), what is the height of the rider above the ground after $12.5$ seconds?