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AP EAMCET · Maths · Trigonometric Ratios & Identities

If x=sin3θcos2θ and y=cos3θsin2θ, where sinθ+cosθ=12, then x+y=

  1. A 489
  2. B 349
  3. C 6518
  4. D 7918
Verified Solution

Answer & Solution

Correct Answer

(D) 7918

Step-by-step Solution

Detailed explanation

It is given that x=sin3θcos2θ y=cos3θsin2θ The summation of x and y is x+y=sin3θcos2θ+cos3θsin2θ =sinθ1-cos2θcos2θ+cosθ1-sin2θsin2θ =sinθ1cos2θ-1+cosθ1sin2θ-1…