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Solve: `Cos(Sin^-1x)=1/6` - Mathematics

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प्रश्न

Solve: `cos(sin^-1x)=1/6`

उत्तर

`cos(sin^-1x)=1/6`

⇒ `cos(cos^-1sqrt(1-x^2))=1/6`

⇒ `sqrt(1-x^2)=1/6`

⇒ `1-x^2=1/36`

⇒ `1-1/36=x^2`

⇒ `x^2=35/36`

⇒ `x=+- sqrt35/6`


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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 3 | पृष्ठ ५४

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