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Railways PYQCBT 1 2020

RRB NTPC · Question 72

If 3 cosθ = \(\sqrt 3 \), then the value of cosec θ . tan θ is:

  1. \(\sqrt 2 \)

  2. \(\sqrt 3 \)

  3. \(\sqrt 3 \)/2

  4. \(\frac{{2\sqrt 3 }}{3}\)

Show answer & explanation

Answer: (B) \(\sqrt 3 \)

Explanation

cos θ = √3/3 = 1/√3. cosec θ × tan θ = (1/sin θ)(sin θ/cos θ) = 1/cos θ = √3.