12th Grade Pythagorean Identities Quizzes, Questions & Answers

12th Grade

Top Trending Pythagorean Identities Quizzes

Pythagorean Forms & Trig Identities Mixed Practice Quiz

Put it all together—proofs, simplifications, and quick evaluations using the Pythagorean family. You’ll flip between tan/sec and cot/csc forms, verify identities, and use triangles or the unit circle to pin down exact...

Questions: 20 | Attempts: 10 | Last updated: Nov 19, 2025

Sample Question 1
Which identity is equivalent to 1 + tan²(θ) = sec²(θ)?

Sin²(θ) + cos²(θ) = 1

1 + sin²(θ) = csc²(θ)

1 + cot²(θ) = csc²(θ)

Tan²(θ) = sec²(θ) − 1

Sample Question 2
Simplify (sec²(θ) − 1)/(sec²(θ)).

Tan²(θ)

1 − cos²(θ)

1 − 1/sec²(θ)

Tan²(θ)/sec²(θ)

Sample Question 3
Using 1 + cot²(θ) = csc²(θ), simplify csc²(θ) − cot²(θ).

0

1

Tan²(θ)

Sec²(θ)

Trigonometric Equations & Identities- Assessment Quiz

How much do you know about trigonometric equations and identities? A trigonometric identity includes trigonometric functions and is valid for each value of the happening variables where the two sides of the equality are...

Questions: 10 | Attempts: 525 | Last updated: Mar 21, 2025

Sample Question
Equalities that involve trigonometric functions and are true for every value of the occurring variables are called...

Trigonometric identities

Numeric values

Identities

Values