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The sum of the infinite series: cot^(-1)...

The sum of the infinite series: `cot^(-1)2 + cot^(-1)8 + cot^(-1)18 + cot^(-1)32`+……. Is equal to

A

`pi//4`

B

`pi//2`

C

`3pi//4`

D

none of these

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -EXERCISE (LEVEL 1) (SINGLE CORRECT ANSWER TYPE QUESTIONS)
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  8. The sum of the infinite series: cot^(-1)2 + cot^(-1)8 + cot^(-1)18 + c...

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  10. sin^(-1)x gt cos^(-1) x holds for

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  11. 2 sin^(-1)x = cos^(-1)x holds for

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  12. If cos^(-1)x + cos^(-1)y = pi//2 and tan^(-1)x - tan^(-1)y =0 then x^(...

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  13. x = tan^(-1)3 + tan^(-1)2 y = tan^(-1)3 - tan^(-1)2 If a tan x + b...

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  14. If x gt 1 and 2tan^(-1)x - sin^(-1)(7//25) = pi then the value of x is

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  15. Number of values of x satisfying sin^(-1)(1-x) -2 sin^(-1)x = pi//2 is

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  16. sin(3 sin^(-1)(0.4)) is equal to

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  17. If tan(pi/4 + 1/2 cos^(-1) theta) + tan(pi/4 - 1/2 cos^(-1) theta) is ...

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  18. cot^(-1){(sqrt(1 + sinx) + sqrt(1-sinx))/(sqrt(1+sinx) - sqrt(1-sinx))...

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  19. If x lt 0, then tan^(-1)x + tan^(-1) (1//x) equals

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  20. If sin^(-1)x + sin^(-1) 2x = pi//3, then x=

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