3. Geometry and Trigonometry

Quadratic Trigonometric Equations — Quiz

Test your understanding of quadratic trigonometric equations with 5 practice questions.

Practice Questions

Question 1

Solve $2\sin^2 x - 3\sin x + 1 = 0$ for $0\le x < 2\pi$.

Question 2

To solve $3\cos^2 x - 5\cos x + 2 = 0$, which substitution turns it into an ordinary quadratic equation?

Question 3

How many solutions does $\sin^2 x = \frac{1}{4}$ have on $0\le x < 2\pi$?

Question 4

Solve $2\cos^2 x - 1 = 0$ for $0\le x < 2\pi$.

Question 5

Which identity is most useful for rewriting $\sin^2 x$ in terms of $\cos x$?