3. Geometry and Trigonometry

Quadratic Trigonometric Equations — Quiz

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

Practice Questions

Question 1

Which values of $\sin x$ satisfy $2\sin^2 x - 3\sin x + 1 = 0$?

Question 2

What is the valid value of $\cos x$ if $2\cos^2 x - 5\cos x + 2 = 0$?

Question 3

Which values of $\tan x$ satisfy $2\tan^2 x - 3\tan x - 2 = 0$?

Question 4

How many real values of $\sin x$ satisfy $2\sin^2 x - \sin x - 1 = 0$?

Question 5

What substitution is usually used to turn a quadratic equation in $\sin x$ into an ordinary quadratic equation?