EXAMPLE 15 Solve tan^-1(x) = tan^-1(1-x) = tan^-1(4/3)

Solution : Let = tan -1 x and = tan-1(1 - x) then,

tan = x and tan = 1 - x

Taking tangent of both sides of the equation,

Then 4x² - 4x + 4 = 3 i.e. 4x² - 4x + 1 = 0

\ (2x - 1)² = 0 Þ 2x - 1 = 0 i.e. x = 1/2

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Index

6.1 Inverse Functions
6.2 Trignometric Equations
Supplementary Problems

Chapter 7