3. Geometry and Trigonometry

Solving Equations Using Trigonometric Graphs — Quiz

Test your understanding of solving equations using trigonometric graphs with 5 practice questions.

Practice Questions

Question 1

What is the main idea of solving an equation using trigonometric graphs?

Question 2

Which equation would be solved by finding the intersections of $y=\sin x$ and $y=\cos x$?

Question 3

In the interval $0\le x\le 2\pi$, how many solutions does the equation $\sin x=0$ have?

Question 4

Which graph would be most useful for solving $\cos x=\tfrac{1}{2}$ on $0\le x\le 2\pi$?

Question 5

What does it mean when a trigonometric graph and a horizontal line intersect at $x=\frac{\pi}{3}$?