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The maximum value of f(x)=tan^(-1)(((sqr...

The maximum value of `f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3))` is (A) `18^@` (B) `36^@` (C) `22.5^@` (D) `15^@`

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The sum of the solution of the equation 2sin^(-1)sqrt(x^2+x+1)+cos^(-1...

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  2. Complete solution set of [cot^(-1)x]+2[tan^(-1)x]=0, where [] denote...

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  3. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3)) is...

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  4. Evaluate : sec^2(tan^(-1)2)+cosec^2(cot^(-1)3).

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  5. The number of real solution of the equation tan^(-1) sqrt(x^2-3x +2) +...

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  6. For the equation cos^(-1)x+cos^(-1)2x+pi=0 , the number of real soluti...

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  7. If sin^(-1)x=theta+betaa n dsin^(-1)y=theta-beta, then 1+x y is equal ...

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  8. If sin^(-1)(x-1)+cos^(-1)(x-3)+tan^(-1)(x/(2-x^2))=cos^(-1)k+pi, then...

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  9. The value of (lim)((n->oo))(tan^(-1)x)' is equal to (a)-1 (b) π / 2...

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  10. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (a)(pi/4,(3pi)/4) ...

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  11. If [cot^(-1)x]+[cos^(-1)x]=0 , where [] denotes the greatest integer f...

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  12. Range of tan^(-1)((2x)/(1+x^2)) is (a)[-pi/4,pi/4] (b) (-pi/2,pi/2...

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  13. If range of function f(x)=sin^(-1)x+2tan^(-1)x+x^2+4x+1 is [p , q], th...

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  14. The value of x for which sin(cot^-1(1+x))=cos(tan^-1x) is

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  15. The greatest and least values of (sin^-1x)^3+(cos^-1x)^3 are

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  16. sin{2(sin^(-1)(sqrt(5))/3-cos^(-1)(sqrt(5))/3)} is equal to (ksqrt(5)...

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  17. If 0 lt x lt 1, then sqrt(1+x^2)[{xcos(cos^-1x)+sin(cot^-1x)}^2-1]^(1/...

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  18. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/4, then t...

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  19. The number of solution of the equation tan^-1 sqrt(x(x+1)) + sin^-1sqr...

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  20. Which of the following quantities is/are positive ? a.cos (tan^(-1) (t...

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