मराठी

Simplest form of (sec A)/sqrt(sec^2 A – 1) is ______. - Mathematics

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प्रश्न

Simplest form of `(sec A)/sqrt(sec^2 A - 1)` is ______.

पर्याय

  • sin A

  • tan A

  • cosec A

  • cos A

MCQ
रिकाम्या जागा भरा
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उत्तर

Simplest form of `(sec A)/sqrt(sec^2 A - 1)` is cosec A.

Explanation:

`(sec A)/sqrt(sec^2 A - 1)`

= `(sec A)/sqrt(tan^2 A)`

= `(sec A)/(tan A)`

= `(1/cos A)/(sin A/cos A)`

= `1/(cos A) xx (cos A)/(sin A)`

= `1/(sin A)`

= cosec A

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