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Quotient Identities Simplify & Verify Quiz

Speed round: convert between tan, cot, sec, csc and sin/cos to simplify, verify identities, and evaluate at common angles. Expect reciprocal/quotient swaps, cancellations, and quick checks of “both sides defined” to...

Questions: 20 | Attempts: 12 | Last updated: Dec 11, 2025

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

Sec x

Csc x

Tan x

Cot x

Quotient Identities Proof Practice Quiz

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
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

Quotient Identities: Radians & Unit Circle Quiz

Connect the algebra to the circle. Convert degrees↔radians, read (cos θ, sin θ) from the unit circle, and use quadrant signs to evaluate sin, cos, and tan. By the end, your quotient identities will feel as...

Questions: 20 | Attempts: 10 | Last updated: Dec 11, 2025

Sample Question
Convert 225° to radians.

3π/4

5π/4

7π/6

9π/8

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