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Question
Simplest form of `(sec A)/sqrt(sec^2 A - 1)` is ______.
Options
sin A
tan A
cosec A
cos A
MCQ
Fill in the Blanks
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Solution
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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