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The value of 1sin 30°3cos 30°\dfrac{1}{\text{sin 30°}} - \dfrac{\sqrt{3}}{\text{cos 30°}} is

  1. 2

  2. 1

  3. 12\dfrac{1}{2}

  4. 0

Trigonometrical Ratios

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Answer

Solving,

1sin 30°3cos 30°=112332=22=0.\Rightarrow \dfrac{1}{\text{sin 30°}} - \dfrac{\sqrt{3}}{\text{cos 30°}} = \dfrac{1}{\dfrac{1}{2}} - \dfrac{\sqrt{3}}{\dfrac{\sqrt{3}}{2}} \\[1em] = 2 - 2 \\[1em] = 0.

Hence, Option 4 is the correct option.

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