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If sin^(-1)(5/x)+cos^(-1)(x/5)=pi/2,then...

If `sin^(-1)(5/x)+cos^(-1)(x/5)=pi/2`,then find x.

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`sin^(-1)(5/x)+cos^(-1)(x/5)=pi/2`
`:' sin^(-1)(m)+cos^(-1)(m)=pi/2`
`:.sin^(-1)(5/x)+cos^(-1)(x/5)=pi/2` si possible only if `5/x=x/5`
`rArr x^2=25`
`rArr x=pm5`
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