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TS EAMCET · Maths · Trigonometric Ratios & Identities

When sin9θcos27θ+sin3θcos9θ+sinθcos3θ=ktan27θ-tanθ is defined, then k=

  1. A π2
  2. B -12
  3. C 12
  4. D π4
Verified Solution

Answer & Solution

Correct Answer

(C) 12

Step-by-step Solution

Detailed explanation

sin9θcos27θ+sin3θcos9θ+sinθcos3θ=ktan27θ-tanθ Substitute θ=π3 in the above expression, ⇒sin9π3cos27π3+sin3π3cos9π3+sinπ3cos3π3=ktan27π3-tanπ3 ⇒0+0+32-1=ktan9π-tan60°…
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