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Absolute value of sum of all integers in the domain of `f(x)=cot^(-1)sqrt((x+3)x)+cos^(-1)sqrt(x^2+3x+1)` is_______

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/(1+b^2))=2tan^(-1)x , then x ...

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  2. If alpha=tan^(-1)((4x-4x^3)/(1-6x^2+x^4)),beta=2sin^(-1)((2x)/(1+x^2))...

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  3. Absolute value of sum of all integers in the domain of f(x)=cot^(-1)sq...

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  4. Solve the equation tan^(-1)2x+tan^(-1)3x=pi/4

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  5. Solve tan^(-1)x+sin^(-1)x=tan^(-1)2xdot

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  6. 2"tan"(tan^(-1)(x)+tan^(-1)(x^3)),where x in R-{-1,1}, is equal to

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  7. If alpha=3sin^-1(6/(11)) and beta=3cos^-1(4/9), where the inverse trig...

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  8. Prove that: tan^(-1)x+tan^(-1)(1/x)={pi/2,ifx >0-pi/2,ifx<0

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  9. Find the value of sin^(-1)x+sin^(-1)(1/x)+cos^(-1)x+cos^(-1)(1/x)dot

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  10. Find the value of underset(r = 1)overset(10)sum underset(s = 1)overset...

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  11. If sin^(-1)xi in [0,1]AAi=1,2,3, .28 then find the maximum value of s...

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  12. Prove that cos^(-1)4/5 + cos^(-1)(12)/(13)=cos^(-1)(33)/(65)

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  13. If two angles of a triangle are tan^(-1)(2)a n dtan^(-1)(3), then find...

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  14. Find the sum of the following AP : 0.6, 1.7, 2.8, ……, to 100 terms.

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  15. Find the sum of the following AP -37, -33, -29, …… to 12 terms.

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  16. Let (x , y) be such that sin^(-1)(a x)+cos^(-1)(y)+cos^(-1)(b x y)=pi/...

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  17. Match the statements/expressions given in Column I with the values giv...

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  18. sum(r=1)^nsin^(-1)((sqrt(r)-sqrt(r-1))/(sqrt(r(r+1))))is equal to (a...

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  19. Prove that: sum(m=1)^ntan^(-1)((2m)/(m^4+m^2+2))=tan^(-1)((n^2+n)/(n^2...

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  20. The greater of the two angles A=2tan^(-1)(2sqrt(2)-1) and B=3sin^(-1)(...

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