मराठी

The principal value of sin-1[cos(sin-1 12)] is π3. - Mathematics

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प्रश्न

The principal value of `sin^-1 [cos(sin^-1  1/2)]` is `pi/3`.

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
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उत्तर

This statement is True.

Explanation:

`sin^-1 [cos(sin^-1  1/2)] = sin^-1 [cos(sin^-1  sin  pi/6)]`

`sin^-1 [cos  pi/6] = sin^-1  (sqrt(3)/2)`

= `sin^-1 (sin  pi/3)`

= `pi/3`

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Inverse Trigonometric Functions - Exercise [पृष्ठ ४१]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
पाठ 2 Inverse Trigonometric Functions
Exercise | Q 55 | पृष्ठ ४१

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