MHT CET · Maths · Trigonometric Ratios & Identities
The value of \(\tan 20^{\circ} \tan 80^{\circ} \cot 50^{\circ}=\)
- A \(\sqrt{3}\)
- B \(\frac{1}{\sqrt{3}}\)
- C \(\frac{1}{2 \sqrt{3}}\)
- D \(2 \sqrt{3}\)
Answer & Solution
Correct Answer
(A) \(\sqrt{3}\)
Step-by-step Solution
Detailed explanation
\( \tan 20^{\circ} \tan 80^{\circ} \cot 50^{\circ} = \tan 20^{\circ} \tan 80^{\circ} \tan (90^{\circ}-50^{\circ}) \) \( = \tan 20^{\circ} \tan 40^{\circ} \tan 80^{\circ} \)
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