Understanding Angles in the Unit Circle

Math · Learn by Concept

Help Questions

Math › Understanding Angles in the Unit Circle

1 - 2

In the unit circle, what is the angle in radians that corresponds to the point (0, -1)?

$\frac{3\pi }{2}$

CORRECT

$\pi$

$\frac{\pi }{2}$

$2\pi$

Explanation

On the unit circle, (0,-1) is the point that falls between the third and fourth quadrant. This corresponds to $\frac{3\pi }{2}$ .

What is the reference angle for $\frac{16\pi}{3}$ ?

$\frac{4\pi}{3}$

CORRECT

$\frac{\pi}{3}$

$\frac{\pi}{6}$

$\frac{3\pi}{4}$

Explanation

To find the reference angle, subtract $2\pi$ (1 trip around the unit circle) from the given angle until you reach an angle which is less than $2\pi$ .

Return to subject

AI Study CoachYour personal study buddy

Instant TutoringConnect with a tutor now

Request a TutorGet matched with an expert

Live ClassesJoin interactive classes

Questions of the DayDaily practice to build your skills

FlashcardsStudy and memorize key concepts

AI SolverStep-by-step problem solutions

Learn by ConceptMaster concepts step by step

Practice TestsTest your skills with exam questions

QuizzesTest your knowledge with a quiz

GamesLearn through free games