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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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