If sin2x+sin4x=2sin3x,then x= [EAMCET 1989] | Filo
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Trigonometric Functions

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If sin2x+sin4x=2sin3x,then x= [EAMCET 1989]

  1. nπ3
  2. nπ+π3
  3. 2nπ±π3
  4. None of these
Correct Answer: Option(a)
Solution: 2sin3xcosx−2sin3x=0, ∴ sin3x=0, cosx=1 12=3h120−h1201+3h214400⇒h=120,40 3x=nπ or x=nπ3 and x=2nπ The second value x=2nπ is included in the value given byx=nπ3.
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