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Mathematics · JEE | INVERSE TRIGONOMETRIC FUNCTIONS

English

\( \cos^{-1}(\cos(\frac{7\pi}{6})) \) का मान है:

  1. A
    \( \frac{5\pi}{6} \)
  2. B
    \( \frac{7\pi}{6} \)
  3. C
    \( \frac{\pi}{6} \)
  4. D
    \( \frac{\pi}{3} \)
उत्तर और समाधान देखें

सही उत्तर · विकल्प A

\( \frac{5\pi}{6} \)

व्याख्या

Since \( \frac{7\pi}{6} \notin [0, \pi] \), we use \( \cos(\frac{7\pi}{6}) = \cos(2\pi - \frac{7\pi}{6}) = \cos(\frac{5\pi}{6}) \). Since \( \frac{5\pi}{6} \in [0, \pi] \), the value is \( \frac{5\pi}{6} \).
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