Principal Values Quizzes, Questions & Answers

Explore the essential concepts of Principal Values through engaging quizzes. Read more

Top Trending Principal Values Quizzes

Solve Equations & Model with Principal Values

Solve Equations & Model With Principal Values

Apply principal values to real-life and modeling scenarios. This quiz connects inverse trigonometric equations to geometric contexts like ladders, ramps, hills, and slopes. Students use arcsin, arccos, and arctan to determine...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question 1
Solve sin(x) = 1/2 for the principal value.

X = π/6

X = 5π/6

X = −π/6

X = π/2

Sample Question 2
Solve cos(x) = −√3/2 in [0, π].

π/6

π/3

5π/6

7π/6

Principal Values: Defining Inverse Trig & Restricted Domains

Learn how inverse trigonometric functions are defined by carefully restricting domains to make them valid functions. This quiz focuses on identifying correct domain and range pairs for sine, cosine, and tangent, and recognizing...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question 1
Which function has an inverse only if its domain is restricted to [−π/2, π/2]?

Sin(x)

Tan(x)

Cos(x)

Csc(x)

Sample Question 2
Which restriction makes cosine one-to-one so it can have an inverse?

[0, 2π]

[−π/2, π/2]

[0, π]

[−π, π]