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Inverse Trigonometric Functions

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  1. 101.S=^-11n^2+n+1+^-11n^2+3n+3++^-111+(n+19)(n+20), then S is equal to:
  2. 102.A value of x for which (^-1(1+x))=(^-1x), is
  3. 103.A value of ^-1[(^-123)] is
  4. 104.The largest interval lying in (-2,2) for which the function f(x)=4^-x^2+^-1(x2-1)+( x) is …
  5. 105.If ^-1x5+cosec^-154=2, then the value of x is
  6. 106.If ^-1x-^-1y2=, then 4x^2-4xy+y^2 is equal to
  7. 107.The domain of the function f(x)=^-1(x-3)√9-x^2 is
  8. 108.The trigonometric equation ^-1x=2^-1a has a solution for
  9. 109.^-1()-^-1()=x, then x=
  10. 110.The domain of ^-1[_3(x3)] is
  11. 111.If [ ^ - 1x - ^ - 1y 2 = ,] then [4x^2 - 4xy + y^2] is equal to :
  12. 112.If sin-1[( x 5 )] + cosec-1[( 5 4 )] = [ 2], then the value of x is :
  13. 113.The value of [cot( ec^ - 15 3 + ^ - 12 3 )] is :
  14. 114.The value of tan-1 [[ 1 + x^2 + 1 - x^2 1 + x^2 - 1 - x^2 ],] [| x | < 1 2,x 0,] is equal …
  15. 115.A value of x satisfying the equation sin[cot-1 (1+ x)] = cos [tan-1 x], is :
  16. 116.If [ ^ - 1x - ^ - 1y 2 = ],where --1 [ ] x [ ] 1, -- 2 [ ] y [ ] 2, x [ ] [y 2] , then for…
  17. 117.All x satisfying the inequality (cot--1 x)2-- 7(cot--1 x) + 10 > 0, lie in the interval :
  18. 118.The value of [ ^ - 1( 12 13 ) - ^ - 1( 3 5 )] is equal to :
  19. 119.If [ = ^ - 1( 3 5 )], [ = ^ - 1( 1 3 )] where [0 < , < 2] , then [ ] - [ ] is equal to :
  20. 120.If x = sin-1(sin10) and y = cos-1(cos10), then y - x is equal to :
  21. 121.If [ ^ - 1( 2 3x ) + ^ - 1( 3 4x ) = 2] (x > [3 4]), then x is equal to :
  22. 122.The domain of the function f(x) = [ ^ - 1( | x | + 5 x^2 + 1 )] is (-- [ ], -a][ ][a, [ ])…
  23. 123.2[ ] - [( ^ - 14 5 + ^ - 15 13 + ^ - 116 65 )] is equal to :
  24. 124.If S is the sum of the first 10 terms of the series [ ^ - 1( 1 3 ) + ^ - 1( 1 7 ) + ^ - 1(…
  25. 125.The number of solutions of the equation [ ^ - 1[ x^2 + 1 3 ] + ^ - 1[ x^2 - 2 3 ] = x^2], …
  26. 126.The sum of possible values of x for tan-1(x + 1) + cot-1[( 1 x - 1 )] = tan-1[( 8 31 )] is…
  27. 127.If cot-1([]) = cot-1 2 + cot-1 8 + cot-1 18 + cot-1 32 + ......
  28. 128.The value of [ ( 2 ^ - 1( 3 5 ) + ^ - 1( 5 13 ) )] is equal to :
  29. 129.If the domain of the function [f(x) = ^ - 1 x^2 - x + 1 ^ - 1( 2x - 1 2 ) ] is the interva…
  30. 130.A possible value of [ ( 1 4 ^ - 1 63 8 )] is :
  31. 131.cosec[[ 2 ^ - 1(5) + ^ - 1( 4 5 ) ]] is equal to :
  32. 132.The domain of the function [ cosec ^ - 1( 1 + x x )] is :
  33. 133.If [_r = 1^50 ^ - 11 2r^2 = p ], then the value of tan p is :
  34. 134.If 0 < a, b < 1, and tan-1a + tan-1b = [ 4], then the value of [(a + b) - ( a^2 + b^2 2 ) …
  35. 135.Let M and m respectively be the maximum and minimum values of the function f(x) = tan-1 (s…
  36. 136.If [( ^ - 1x)^2 - ( ^ - 1x)^2 = a]; 0 < x < 1, a [] 0, then the value of 2x2 - 1 is :
  37. 137.The domain of the function [f(x) = ^ - 1( 3x^2 + x - 1 (x - 1)^2 ) + ^ - 1( x - 1 x + 1 )]…
  38. 138.Let x * y = x^2 + y^3 and (x * 1) * 1 = x * (1 * 1).
  39. 139.The set of all values of k for which [( ^ - 1x)^3 + ( ^ - 1x)^3 = k ^3,,x R], is the inter…
  40. 140.The domain of the function [f(x) = ^ - 1( x^2 - 5x + 6 x^2 - 9 ) _e(x^2 - 3x + 2)] is :
  41. 141.[ (2 ^-1 (1)/(5)+ ^-1 √52+2 ^-1 (1)/(8))] is equal to :
  42. 142.If the inverse trigonometric functions take principal values then [ ^ - 1( 3 10 ( ^ - 1( 4…
  43. 143.The domain of the function [f(x)= ^-1[2 x^2-3]+ _2( _(1)/(2)(x^2-5 x+5))], where [t] is th…
  44. 144.The sum of the absolute maximum and absolute minimum values of the function [f(x)= ^-1( x-…
  45. 145.Considering only the principal values of the inverse trigonometric functions, the domain o…
  46. 146.The domain of the function [f(x)= ^-1(x^2-3 x+2x^2+2 x+7)] is :
  47. 147.The domain of the function [ ^ - 1( 2 ^ - 1( 1 4x^2 - 1 ) )] is :
  48. 148.Let m and M respectively be the minimum and the maximum values of [f(x) = ^ - 12x + 2x + ^…
  49. 149.Let [ = ( 5 16 ( 2 ^ - 1( 1 5 ) ) )] and [ = ( ^ - 1( 4 5 ) + ^ - 1( 5 3 ) )] where the in…
  50. 150.If the domain of the function f(x)= _e(4 x^2+11 x+6)+ ^-1(4 x+3)+ ^-1((10 x+6)/(3)) is (, …