JEE Mathematics · Hard

Trigonometry: Identity MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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IdentityHardQuestion 200055

Question

If sin(A−B)/sin(A+B) = (a−b)/(a+b) — which trigonometric rule does this represent?
  1. A
    Sine rule
  2. B
    Cosine rule
  3. C
    Tangent rule (Napier's analogy)
    Correct
  4. D
    Projection formula

Correct answer

Tangent rule (Napier's analogy)

Explanation

This is Napier's analogy or the tangent rule in a triangle. It relates angle differences to side ratios.