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The value of tan[cos^(-1)(4/5)+tan^(-1)(...

The value of `tan[cos^(-1)(4/5)+tan^(-1)(2/3)]` is `6/(17)` (b) `7/(16)` (c) `(16)/7` (d) none of these

Text Solution

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LHS
`tan[tan^(-1)3/4+tan^(-1)2/3]`
`tan[tan^(-1)((3/4)+(2/3))/(1-(3/4)(2/3))]`
`tan[tan^(-1)(17/6)]`
`=17/6`.
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  • The value of tan(cos^(-1)""(3)/(5)+tan^(-1)""(1)/(4)) is …………

    A
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