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Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsSum And Difference Of AnglesHard2 minQB

MathematicsHardsingle choice

Which listed x solves $tan^{- 1} ((x - 1) / (x + 1)) + tan^{- 1} ((2 x - 1) / (2 x + 1)) = tan^{- 1} (23/36)$ ?

Options:

Answer:

Solution:

At x=4/3, the arguments are 1/7 and 5/11; their sum has tangent (1/7+5/11)/(1-5/77)=23/36 and lies in the principal positive range. The negative algebraic candidate -3/8 fails the arctangent branch.

Stream:JEESubject:MathematicsTopic:Inverse Trigonometric FunctionsSubtopic:Sum And Difference Of Angles

⏱ 2mℹ️ Source: QB

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