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Range of tan^(-1)((2x)/(1+x^2)) is (a)...

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

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (a)(pi/4,(3pi)/4) ...

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

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

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

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

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

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

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

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

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

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

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  12. Which of the following is/are a rational number? a. sin(tan^(-1)3+tan...

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  13. If sin^-1(x - x^2/2 + x^3/4 - ..... infty) + cos^-1 (x^2 - x^4/2 + x^6...

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  14. If we consider only the principal values of the inverse trigonometric ...

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  15. The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^...

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  16. The solution set of the equation sin^(-1) sqrt(1 - x^(2)) + cos^(-1)...

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  17. If |cos^(-1)((1-x^2)/(1+x^2))| < pi/3,t h e n (a) x in [-1/3,1/(sqrt(...

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  18. The equation 3cos^(-1)x-pix-pi/2=0 has one negative solution, one posi...

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  19. If alpha,beta(alpha < beta) are the roots of equation 6x^2+11x+3="0 , ...

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  20. If 2^(2pi//sin^(-1)x) - 2 (a + 2) 2^(pi//sin^(-1)x) + 8a lt 0 for at l...

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