Inverse Trigonometric Functions

Section: Mathematics

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Question : 34 of 95

Marks: +1, -0

Let a1=1,a2,a3,a4,.... be consecutive natural numbers. Then tan−1(‌

1

1+a1a2

)+tan−1(‌

1

1+a2a3

) +.....+tan−1(‌

1

1+a2021a2022

) is equal to

[30-Jan-2023 Shift 2]

‌
π
4
−cot−1(2022)
cot−1(2022)−‌
π
4
tan−1(2022)−‌
π
4
‌
π
4
−tan−1(2022)

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