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`Tan^-1 2/3=1/2tan^-1 12/5` - Mathematics

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Question

`tan^-1  2/3=1/2tan^-1  12/5`

Solution

LHS = `tan^-1  2/3`

`=1/2tan^-1{(2xx2/3)/(1-(2/3)^2)}`     `[becausetan^-1x=1/2tan^-1{(2x)/(1-x^2)}]`

`=1/2tan^-1{(4/3)/(5/9)}`

`=1/2tan^-1  12/5=`RHS

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.14 [Page 115]

APPEARS IN

RD Sharma Mathematics [English] Class 12
Chapter 4 Inverse Trigonometric Functions
Exercise 4.14 | Q 2.03 | Page 115

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