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Evaluate the Following: `Sin(1/2cos^-1 4/5)` - Mathematics

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प्रश्न

Evaluate the following:

`sin(1/2cos^-1  4/5)`

उत्तर

`sin(1/2cos^-1  4/5)=sin{1/2xx2sin^-1+-sqrt((1-4/5)/2)}`       `[becausecos^-1x=2sin^-1+-sqrt((1-x)/2)]`

`=sin(sin^-1+-1/sqrt10)`

`=+-1/sqrt10`

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पाठ 4: Inverse Trigonometric Functions - Exercise 4.14 [पृष्ठ ११५]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 4 Inverse Trigonometric Functions
Exercise 4.14 | Q 1.3 | पृष्ठ ११५

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