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Find the principal value of the following: cosec-1 (2) - Business Mathematics and Statistics

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प्रश्न

Find the principal value of the following:

cosec-1 (2)

बेरीज

उत्तर

Let cosec-1 (2) = y

2 = cosec y

(or) cosec y = 2

`=> 1/(sin y) = 2`

`=> sin y = 1/2`  (Take reciprocal)

⇒ sin y = sin `(pi/6)`

⇒ sin y = `pi/6`

The principal value of cosec-1 (-1) is `pi/6`.

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पाठ 4: Trigonometry - Exercise 4.4 [पृष्ठ ९२]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
पाठ 4 Trigonometry
Exercise 4.4 | Q 1. (iii) | पृष्ठ ९२
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