Quotient Identities Quizzes, Questions & Answers

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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: Oct 31, 2025
  • Sample Question
    Convert 225° to radians.
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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: 10   |  Last updated: Oct 31, 2025
  • Sample Question
    Simplify: (sin x)/(cos x)
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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: Oct 31, 2025
  • Sample Question
    Which identity is correct for tan(θ)?
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