10th Grade Quotient Identities Quizzes, Questions & Answers

10th Grade

Top Trending Quotient Identities Quizzes

Lock in tan θ = sin θ / cos θ and cot θ = cos θ / sin θ. You’ll prove small equalities (like tan·cos = sin), spot non-identities, and rewrite mixed expressions into one trig...

Questions: 20 | Attempts: 15 | Last updated: Jan 22, 2026

Sample Question 1
Which identity is correct for tan(θ)?

Tan(θ) = cos(θ)/sin(θ)

Tan(θ) = sin(θ)/sec(θ)

Tan(θ) = sin(θ)·cos(θ)

Tan(θ) = 1/cot(θ) only

Sample Question 2
Simplify: sin(x)/cos(x) + cos(x)/sin(x)

1/(sin x cos x)

Tan(x) + cot(x)

2tan(x)

Sec(x) + csc(x)

Sample Question 3
If cot(θ) = cos(θ)/sin(θ), what is 1/cot(θ)?

Sec(θ)

Csc(θ)

Cos(θ)

Tan(θ)

Recent Quotient Identities Quizzes

Quotient Derivation Quiz: Deriving Quotients from Unit Circle and Right Triangles

How do quotient identities take shape from basic geometric ideas? In this quiz, you’ll derive tangent and cotangent step by step using unit-circle definitions and triangle-based ratios. You’ll compare side...

Questions: 20 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
In a right triangle with opposite=5 and adjacent=12 for angle θ, what is tanθ?

5/12

12/5

13/12

5/13

Quotient Identities Quiz: Fundamental Quotient Identities

Curious why tangent and cotangent can be expressed through sine and cosine? In this quiz, you’ll break down the fundamental quotient identities and see exactly how they arise from right-triangle ratios and unit-circle...

Questions: 20 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
Cotθ equals sinθ divided by cosθ.

True

False