AP EAMCET · Maths · Trigonometric Ratios & Identities
The value of \(\tan 40^{\circ}+\tan 11^{\circ}+\tan 20^{\circ}-\tan 56^{\circ}+\tan 56^{\circ} \tan 11^{\circ}+\sqrt{3} \tan 40^{\circ} \tan 20^{\circ}\) is
- A \(\sqrt{3}-1\)
- B \(\sqrt{3}+1\)
- C 1
- D 0
Answer & Solution
Correct Answer
(A) \(\sqrt{3}-1\)
Step-by-step Solution
Detailed explanation
\( \tan 40^{\circ}+\tan 20^{\circ}+\sqrt{3} \tan 40^{\circ} \tan 20^{\circ} = \tan(40^{\circ}+20^{\circ}) = \tan 60^{\circ} = \sqrt{3} \)…
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