10th Grade Quotient Identities Quizzes, Questions & Answers

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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: 10 | Last updated: Dec 11, 2025

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)

10th Grade Quotient Identities Quizzes, Questions & Answers

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