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The value of tan^(-1)1+tan^(-1)2+tan^(-1...

The value of `tan^(-1)1+tan^(-1)2+tan^(-1)3` is

A

0

B

`pi`

C

`-pi`

D

`-2tan^(-1)3`

Text Solution

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The correct Answer is:
B
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AAKASH INSTITUTE-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - B)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
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  2. If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi, then 1/(xy)+1/(yz)+1/(zx)=

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  3. The value of tan^(-1)1+tan^(-1)2+tan^(-1)3 is

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  4. If a,b,c are real positive numbers and theta =tan^(-1)[(a(a+b+c))/(bc)...

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  5. Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13))+sin^(-1)((16)/(65))=pi/2

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  6. If alpha= tan^-1 ((sqrt3 x)/(2lamda-x)), beta= tan^-1 ((2x-lamda)/(lam...

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  7. The value of tan[1/2cos^(-1).sqrt5/3] is

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  8. If -1 le x le -1/2, then sin^(-1)(3x-4x^3) equals

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  9. The value of cos (2Cos^-1 0.8) is

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  10. Find the value of 4 tan^-1 (1/5) - tan^-1 (1/239)

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  11. cot^(-1)(sqrtcosalpha)-tan^(-1)(sqrt(cosalpha))=x, x, ge 0, then sin x...

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  12. If |cos^-1((1-x^2)/(1+x^2))| < pi/3, then x belongs to the interval

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  13. The set of values of x satisfying |sin^(- 1)x|lt|cos^(- 1)x|,is

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  14. Let f(x)=sec^-1(x-10)+cos^-1(10-x). Then range of f(x) is

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  15. Let f(x) = cosec^-1[1 + sin^2x], where [*] denotes the greatest intege...

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  16. The sum sum (n=1)^ootan^(-1)(1/(2^n+2^(1-n))) equals

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  17. The expression tan.(pi/4+1/2cos^(-1)x)+tan(pi/4-1/2cos^(-1)x) equals

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  18. The sum sum(k=1)^oocot^(-1)(2k^2) equals

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  19. The sum tan^(-1).(1)/(1+x+x^2)+tan^(-1).(1/(3+3x+x^2))+tan^(-1).(1/(7+...

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  20. The sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)...

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