Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsSum And Difference Of AnglesHard2 minQB

MathematicsHardinteger

Positive integers $x, y$ satisfy $tan^{- 1} (1/ x) + tan^{- 1} (1/ y) = tan^{- 1} (1/7)$ . How many ordered pairs exist?

Answer:

Solution:

$x = 7 + 50/ (y - 7)$ ; the positive integral solutions correspond to six divisors.

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

⏱ 2mℹ️ Source: QB

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