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Prove that: 2sin^(-1)(3/5)=tan^(-1)((24...

Prove that:` 2sin^(-1)(3/5)=tan^(-1)((24)/7)`

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LHS=`2 sin^(-1)""(3)/(5)=2tan^(-1)""((3)/(5))/(sqrt(1-((3)/(5))^(2)))`
`( :. sin^(-1)x=tan^(-1)"(x)/(sqrt(1-x^(2))))`
`=2tan^(-1)""(3)/(4)=tan^(-1)""(2xx(3)/(4))/(1-((3)/(4))^(2))`
`=tan^(-1)""(3//2)/(7//16)=tan^(-1)""((3)/(2)xx(16)/(7))`
`=tan^(-1)""((24)/(7))`=RHS. Hence Proved.
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