\frac{sec 30 º}{cosec 60 º} = ?

Foundation

Mathematics Foundation

Introduction to Trigonometry

Question

$\frac{\sec 30 º}{cosec 60 º} = ?$

$\frac{2}{\sqrt{3}}$

$\frac{\sqrt{3}}{2}$

$\sqrt{3}$

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We need to evaluate $\frac{\sec 30 °}{cosec 60 °}$ . First, recall the trigonometric values: sec 30° = 2/√3 and cosec 60° = 2/√3. Substituting these values, the expression becomes $\frac{\frac{2}{\sqrt{3}}}{\frac{2}{\sqrt{3}}}$ . Since the numerator and denominator are identical, the fraction simplifies to 1.

Final Answer: 1