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sin^(-1)(5/x) +sin^(-1)(12/x) =pi/2...

`sin^(-1)(5/x) +sin^(-1)(12/x) =pi/2`

Text Solution

Verified by Experts

`sin^(-1)(5/x)=pi/22-sin^(-1)(12/x)`
`sin^(-1)(5/x)=cos^(-1)(12/x)=0`
`sin^(-1)(5/x)=theta`
`sintheta=5/x`
`cos^(-1)(12/x)=theta`
`costheta=12/x`
`x=sqrt(12^2+5^2`
`x=sqrt169`
...
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