NDA 2025 · PYQ · Trigonometric Identities · medium
Let p = tan2α - tanα and q = cotα - cot2α. What is (p/q) equal to?
Answer
The correct answer is C: tanα·tan2α. q = cotα - cot2α = 1/tanα - 1/tan2α = (tan2α - tanα)/(tanα·tan2α) = p/(tanα·tan2α). Therefore p/q = tanα·tan2α.
- A.-tanα·tan2α
- B.-cotα·cot2α
- C.tanα·tan2α✓ Correct
- D.cotα·cot2α
q = cotα - cot2α = 1/tanα - 1/tan2α = (tan2α - tanα)/(tanα·tan2α) = p/(tanα·tan2α). Therefore p/q = tanα·tan2α.
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