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Evaluate the Following: `Sin(Cos^-1 5/13)` - Mathematics

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प्रश्न

Evaluate the following:

`sin(cos^-1  5/13)`

उत्तर

`sin(cos^-1  5/13)=sin(sin^-1sqrt(1-(5/13)^2))`     `[thereforecos^-1x=sin^-1sqrt(1-x^2)]`

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

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

`=sin[sin^-1  12/13]`

`=12/13`

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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 1.2 | पृष्ठ ५४

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