JEE Mains · Maths · STD 11 - 3. trignometrical ratios,functions and identities
The value of \(\tan 9^{\circ}-\tan 27^{\circ}-\tan 63^{\circ}+\tan 81^{\circ}\) is \(............\).
- A \(6\)
- B \(8\)
- C \(4\)
- D \(10\)
Answer & Solution
Correct Answer
(C) \(4\)
Step-by-step Solution
Detailed explanation
The value of \(\tan 9^{\circ}-\tan 27^{\circ}-\tan 63^{\circ}+\tan 81^{\circ}\) \(\Rightarrow \tan 9^{\circ}+\cot 9^{\circ}-\tan 27^{\circ}-\cot 27^{\circ}\) \(\Rightarrow \frac{2}{\sin 18^{\circ}}-\frac{2}{\sin 54^{\circ}}\)…
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