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AP EAMCET · Maths · Trigonometric Ratios & Identities

\([1+\sec 2 \theta][1+\sec 4 \theta]=\)

  1. A \(\tan \theta \tan 4 \theta\)
  2. B \(\cot \theta \tan 4 \theta\)
  3. C \(4 \cot \theta \tan 4 \theta\)
  4. D \(4 \tan \theta \tan 4 \theta\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(4 \cot \theta \tan 4 \theta\)

Step-by-step Solution

Detailed explanation

\([1+\sec 2 \theta][1+\sec 4 \theta]=\left[1+\frac{1}{\cos 2 \theta}\right] \cdot\left[1+\frac{1}{\cos 4 \theta}\right]\)…
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