3. Geometry and Trigonometry

Strategy For Trigonometric Equations — Quiz

Test your understanding of strategy for trigonometric equations with 5 practice questions.

Practice Questions

Question 1

What is the first main step when solving a trigonometric equation such as $\sin x = \frac{1}{2}$ on an interval like $0 \le x \le 2\pi$?

Question 2

How many solutions does $\sin x = 0$ have on the interval $0 \le x < 2\pi$?

Question 3

Which identity is most useful for changing $\cos^2 x$ into an expression involving $\sin x$ when solving a trigonometric equation?

Question 4

Solve $2\sin x = 1$ for $0 \le x \le 2\pi$. Which set of solutions is correct?

Question 5

When solving $\tan x = -1$ on $0 \le x < 2\pi$, which principle helps most to find all solutions?