JEE Mains · Maths · STD 11 - 3. trignometrical ratios,functions and identities
The value of \( \text{cosec}10^{\circ}-\sqrt{3}\ \text{sec}10^{\circ} \) is equal to:
- A 4
- B 2
- C 8
- D 6
Answer & Solution
Correct Answer
(A) 4
Step-by-step Solution
Detailed explanation
\( =\frac{1}{\sin 10^{\circ}}-\frac{\sqrt{3}}{\cos 10^{\circ}} \) \( =\frac{\cos 10^{\circ}-\sqrt{3}\sin 10^{\circ}}{\sin 10^{\circ}\cos 10^{\circ}} \) \( = 4[\frac{\frac{1}{2}\cos 10^{\circ}-\frac{\sqrt{3}}{2}\sin 10^{\circ}}{2\sin 10^{\circ}\cos 10^{\circ}}] \)…
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