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Evaluate the Following: `Sec(Sin^-1 12/13)` - Mathematics

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प्रश्न

Evaluate the following:

`sec(sin^-1  12/13)`

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उत्तर

`sec(sin^-1  12/13)=sec[cos^-1sqrt(1-(12/13)^3)]`    
`[thereforesin^-1x=cos^-1sqrt(1-x^2)]`

`=sec[cos^-1(sqrt(1-144/169))]`

`=sec[cos^-1(sqrt(25/169))]`

`=sec[cos^-1  5/13]`

`=sec[sec^-1  13/5]`

`==13/5`

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अध्याय 4: Inverse Trigonometric Functions - Exercise 4.08 [पृष्ठ ५४]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.08 | Q 1.6 | पृष्ठ ५४

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