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Mathematics · JEE | TRIGONOMETRIC FUNCTIONS

हिन्दी

The expression \( 2\sin^2(\frac{\pi}{6}) + \operatorname{cosec}^2(\frac{7\pi}{6})\cos^2(\frac{\pi}{3}) \) simplifies to:

  1. A
    \( 2 \)
  2. B
    \( \frac{1}{2} \)
  3. C
    \( 1 \)
  4. D
    \( \frac{3}{2} \)
View Answer & Solution

Correct answer · Option D

\( \frac{3}{2} \)

Explanation

Evaluating term by term: \( 2(1/4) + (-2)^2(1/4) = 1/2 + 1 = 3/2 \).
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