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Solve the equation of x:sin^(-1)x+sin^(-...

Solve the equation of `x:sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x`

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Given,`sin^(−1)x+sin^(−1)(1−x)=cos^(−1)x`
=`sin^(−1)x+sin^(−1)(1−x)=π/2​−sin^(−1)x`
=`sin^(−1)(1−x)=π/2​−2sin^(−1)x ` ...... (i),
Let `sin^(−1)x=y`
⇒x=siny
Therefore, from (i), we get
...
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