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TS EAMCET · Maths · Trigonometric Ratios & Identities

If x-y and sinx+siny=3cosy-cosx, then tanx-y=

  1. A 32
  2. B -1
  3. C 34
  4. D 1
Verified Solution

Answer & Solution

Correct Answer

(C) 34

Step-by-step Solution

Detailed explanation

Given, sinx+siny=3cosy-cosx 2sinx+y2.cosx-y2=3×2sinx+y2.sinx-y2 cosx-y2=3×sinx-y2 tanx-y2=13 Now, tanx-y=2tanx-y21-tanx-y22 tanx-y=2×131-132 tanx-y=2×131-19 tanx-y=2×1389 tanx-y=34