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All solutions of the equation, 2 sin θ + tan θ = 0 are obtained by taking all integral values of m and n in
  • a)
    2nπ + 2π/3, n ∈ I
  • b)
    nπ or 2m π ± 2π/3 where n, m ∈ I
  • c)
    nπ or m π ± π/3 where n, m ∈ I 
  • d)
    nπ or 2m π ± π/3 where n, m ∈ I
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
All solutions of the equation, 2 sin θ + tan θ = 0 are obt...
2 sin θ + tan θ = 0⇒2 sin θ + sin θcos θ = 0⇒2 sin θ . cos θ + sin θ = 0⇒sin θ[2 cos θ + 1] = 0⇒sin θ = 0  or  2 cos θ + 1 = 0⇒sin θ = 0  or cos θ = −12⇒sin θ = 0  or cos θ = −cos (π/3)⇒sin θ = 0  or cos θ = cos (2π/3)⇒θ = nπ or θ = 2mπ±2π3
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All solutions of the equation, 2 sin θ + tan θ = 0 are obt...
Correct answer is option b
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All solutions of the equation, 2 sin θ + tan θ = 0 are obtained by taking all integral values of m and n ina)2nπ +2π/3, n ∈ Ib)nπ or 2m π ±2π/3where n, m ∈ Ic)nπ or m π ±π/3where n, m ∈ Id)nπ or 2m π ±π/3where n, m ∈ ICorrect answer is option 'B'. Can you explain this answer?
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All solutions of the equation, 2 sin θ + tan θ = 0 are obtained by taking all integral values of m and n ina)2nπ +2π/3, n ∈ Ib)nπ or 2m π ±2π/3where n, m ∈ Ic)nπ or m π ±π/3where n, m ∈ Id)nπ or 2m π ±π/3where n, m ∈ ICorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about All solutions of the equation, 2 sin θ + tan θ = 0 are obtained by taking all integral values of m and n ina)2nπ +2π/3, n ∈ Ib)nπ or 2m π ±2π/3where n, m ∈ Ic)nπ or m π ±π/3where n, m ∈ Id)nπ or 2m π ±π/3where n, m ∈ ICorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for All solutions of the equation, 2 sin θ + tan θ = 0 are obtained by taking all integral values of m and n ina)2nπ +2π/3, n ∈ Ib)nπ or 2m π ±2π/3where n, m ∈ Ic)nπ or m π ±π/3where n, m ∈ Id)nπ or 2m π ±π/3where n, m ∈ ICorrect answer is option 'B'. Can you explain this answer?.
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