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NDA 2025 · PYQ · Trigonometric Identities · medium

Let p = tan2α - tanα and q = cotα - cot2α. What is (p/q) equal to?

  1. A.-tanα·tan2α
  2. B.-cotα·cot2α
  3. C.tanα·tan2α✓ Correct
  4. D.cotα·cot2α

Explanation

q = cotα - cot2α = 1/tanα - 1/tan2α = (tan2α - tanα)/(tanα·tan2α) = p/(tanα·tan2α). Therefore p/q = tanα·tan2α.
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