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Complementary Angles — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSComplementary Angles2 Marks
Question
Evaluate $: \frac{\sec 75^{\circ}}{\operatorname{cosec} 15^{\circ}}$
✓

Answer

$ \frac{\sec 75^{\circ}}{\operatorname{cosec} 15^{\circ}}$
$= \frac{\sec \left(90^{\circ}-15^{\circ}\right)}{\operatorname{cosec} 15^{\circ}}$
$= \frac{\operatorname{cosec} 15^{\circ}}{\operatorname{cosec} 15^{\circ}}$
$= 1$

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