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COMEDK · Maths · 8. Trigonometric Ratios & Identities

If \(\tan A-\tan B=x\) and \(\cot B-\cot A=y\), then \(\cot (A-B)=\)

  1. A \(\frac{1}{y}-\frac{1}{x}\)
  2. B \(\frac{1}{x}-\frac{1}{y}\)
  3. C \(\frac{1}{x}+\frac{1}{y}\)
  4. D None of these
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{1}{x}+\frac{1}{y}\)

Step-by-step Solution

Detailed explanation

We have,…