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

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Question

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

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Solution

`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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Chapter 4: Inverse Trigonometric Functions - Exercise 4.08 [Page 54]

APPEARS IN

RD Sharma Mathematics [English] Class 12
Chapter 4 Inverse Trigonometric Functions
Exercise 4.08 | Q 3 | Page 54

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