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AP EAMCET · Maths · Trigonometric Ratios & Identities

\(\tan 6^{\circ} \tan 42^{\circ} \tan 66^{\circ} \tan 78^{\circ}=\)

  1. A \(\frac{3}{4}\)
  2. B \(1\)
  3. C \(0\)
  4. D \(\frac{1}{3}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1\)

Step-by-step Solution

Detailed explanation

Since, we know, \(\tan (\mathrm{A}-\mathrm{B}) \tan (\mathrm{A}+\mathrm{B})=\frac{\tan ^2 \mathrm{~A}-\tan ^2 \mathrm{~B}}{1-\tan ^2 \mathrm{~A} \cdot \tan ^2 \mathrm{~B}}\)…