हिंदी

cos^(–1) (cos (7pi)/6) is equal to ______.

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प्रश्न

`cos^(-1) (cos  (7pi)/6)` is equal to ______.

विकल्प

  • `(7pi)/6`

  • `(5pi)/6`

  • `pi/3`

  • `pi/6`

MCQ
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उत्तर

`cos^(-1) (cos  (7pi)/6)` is equal to `underlinebb((5pi)/6)`.

Explanation:

`cos^(-1) (cos  (7pi)/6) ≠ (7pi)/6` as the principal value branch of cos–1 is [0, π].

∴ `cos^(-1) (cos  (7pi)/6)`

= `cos^(-1) (cos (pi + pi/6))`

= `cos^-1(-cos  pi/6)`

= `cos^-1 (cos(pi - pi/6))`

= `(5pi)/6`

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अध्याय 2: Inverse Trigonometric Functions - EXERCISE 2.2 [पृष्ठ ३०]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 2 Inverse Trigonometric Functions
EXERCISE 2.2 | Q 13. | पृष्ठ ३०

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