Q) if \(sinA=\frac{1}{2}\), then the value of \(cotA\) is
  • 1) (a) \(\sqrt[2]{3}\)
  • 2) (b) \(\frac{1}{\sqrt[]{3}}\)
  • 3) (c)\(\frac{\sqrt[]{3}}{2}\)
  • 4) (d) 1


Answer : Option 1

as given in the question sinA= 1/2,
we know \(cotA=\frac{cosA}{sinA}\)
\(cosA=\sqrt[]{1-sin^A}\)
\( \implies \) cosA=\(\sqrt[]{1-\frac{1}{4}}\) =\(\sqrt[]{\frac{3}{4}}\)
\( \implies \) cotA=cosA/ssinA=\(\sqrt[]{3}\)

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