मराठी

Evaluate the Following: `Sin(Sec^-1 17/8)`

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प्रश्न

Evaluate the following:

`sin(sec^-1  17/8)`

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उत्तर

`=sin(sec^-1  17/8)=sin(cos^-1  8/17)`

`=sin[sin^-1sqrt(1-(8/17)^2)]`    `[thereforecos^-1x=sin^-1sqrt(1-x^2)]`

`=sin[sin^-1(sqrt(1-64/289))]`

`=sin[sin^-1(sqrt(225/289))]`

`=sin[sin^-1  15/17]`

`=15/17`

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पाठ 3: Inverse Trigonometric Functions - Exercise 4.08 [पृष्ठ ५४]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
पाठ 3 Inverse Trigonometric Functions
Exercise 4.08 | Q 1.4 | पृष्ठ ५४
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