If 0 < a, b < 1, and tan^…1a + tan^…1b = …, then the value of … is :

Option A. tan^…1a + tan^…1b = … 0 < a, b < 1

Inverse Trigonometric Functions

JEE Main 2021 · 26 Feb, Evening shift · Q4101

MathematicsMedium66×since 2002Q4101

If 0 < a, b < 1, and tan^

-

1a + tan^

-

1b =

{\pi \over 4}

, then the value of

(a + b) - \left( {{{{a^2} + {b^2}} \over 2}} \right) + \left( {{{{a^3} + {b^3}} \over 3}} \right) - \left( {{{{a^4} + {b^4}} \over 4}} \right) + .....

is :

JEE Main 2021 · 26 Feb, Evening shift · Q4101

MathematicsMedium66×since 2002Q4101

If 0 < a, b < 1, and tan^

-

1a + tan^

-

1b =

{\pi \over 4}

, then the value of

(a + b) - \left( {{{{a^2} + {b^2}} \over 2}} \right) + \left( {{{{a^3} + {b^3}} \over 3}} \right) - \left( {{{{a^4} + {b^4}} \over 4}} \right) + .....

is :