AP EAMCET · Maths · Trigonometric Ratios & Identities
\(\tan 9^{\circ}-\tan 27^{\circ}-\tan 63^{\circ}+\tan 81^{\circ}=\)
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(D) 4
Step-by-step Solution
Detailed explanation
\begin{aligned} \tan & 9^{\circ}-\tan 27^{\circ}-\tan 63^{\circ}+\tan 81^{\circ} \\ & =\tan 81^{\circ}+\tan 9^{\circ}-\left(\tan 63^{\circ}+\tan 27^{\circ}\right) \\ & =\cot 9^{\circ}+\tan 9^{\circ}-\left(\cot 27^{\circ}+\tan 27^{\circ}\right) \\ & =\frac{\cos ^2 9^{\circ}+\sin…
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