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Inverse Trigonometric Functions question

2021 · 26 Feb · Shift 2 · Q30

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2021 · 26 Feb · Shift 2 · Q30

Inverse Trigonometric Functions question

2021 · 26 Feb · Shift 2 · Q30

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

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 :

A
${\log _e}$ 2
B
e
C
${\log _e}\left( {{e \over 2}} \right)$
D
e2 = 1

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