JEE Mains · Maths · STD 11 - 3. trignometrical ratios,functions and identities
The value of \( \frac{\sqrt{3}\text{cosec } 20^{\circ}-\sec 20^{\circ}}{\cos 20^{\circ}\cos 40^{\circ}\cos 60^{\circ}\cos 80^{\circ}} \) is equal to
- A 32
- B 16
- C 64
- D 12
Answer & Solution
Correct Answer
(C) 64
Step-by-step Solution
Detailed explanation
\(E =\frac{\frac{\sqrt{3}}{\sin 20^{\circ}}-\frac{1}{\cos 20^{\circ}}}{\frac{1}{2} \cdot \frac{1}{4} \cdot \cos 60^{\circ}}\) \(=\frac{\left(\sqrt{3} \cos 20^{\circ}-\sin 20^{\circ}\right)}{\cos 20^{\circ} \cdot \sin 20^{\circ}} 16\)…
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