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The value of cot("Cosec"^(-1)5/3+"Tan"^(...

The value of `cot("Cosec"^(-1)5/3+"Tan"^(-1)2/3)` is

A

`16/17`

B

`3/17`

C

`4/17`

D

`5/17`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-INVERSE TRIGNOMETRIC FUNCTIONS-LECTURE SHEET (EXERCISE - II) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The value of cot("Cosec"^(-1)5/3+"Tan"^(-1)2/3) is

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  2. Find the value of tan(Cos^(-1)4/5 + Tan^(-1) 2/3)

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  3. If we consider only the principle values of the inverse trigonometric ...

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  4. Find the value of tan(2"Tan"^(-1)(1/5)-(pi)/4)

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  5. If x,y,z are in A.P and Tan^(-1) x, Tan^(-1) y and Tan^(-1) z are als...

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  6. Cot^(-1)(sqrt(Cos alpha))-Tan^(-1)( sqrt(Cos alpha))=x then Sinx=

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  7. The number of solutions of the equation Tan^(-1)(x-1)+Tan^(-1)(x+1)=Ta...

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  8. The value of tan[Tan^(-1)(1/(a+b))+Tan^(-1)(b/(a^(2)+ab+1))] is

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  9. The arithmetic mean of the non-zero solutions of the equation "Tan"^...

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  10. If a,b,c, are positive then tan^(-1)sqrt((a(a+b+c))/(bc))+tan^(-1)sq...

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  11. If alpha, beta, gamma are the roots of the equation x^(3)+mx^(2)+3x+m=...

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  12. If Cos^(-1)x-Cos^(-1)(y/2)=alpha" then "4x^(2)-4xycosalpha+y^(2)=

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  13. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/z then the value of sum((x^(201...

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  14. If Cos^(-1)x+Cos^(-1)y+Cos^(-1)z=pi,"then "x^(2)+y^(2)+z^(2)+2xyz=

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  15. The value of alpha such that sin^(-1)""2/sqrt(5), sin^(-1)""3/sqrt(10)...

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  16. sum(r=1)^(n)sin^(-1)((sqrt(r)-sqrt(r-1))/sqrt(r(r+1))) is equal to

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  17. sum(m=1)^(oo)Tan^(-1) ((2m)/(m^(4)+m^(2)+2))=

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  18. The value of "tan"^(-1)4/7+"tan"^(-1)4/19+"tan"^(-1)4/39+"tan"^(-1)4/6...

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  19. The sum of series sec^(-1)sqrt(2)+"sec"^(-1)(sqrt(10))/3+"sec"^(-1)(sq...

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  20. Sum of infinite terms of the series cot^(-1)(1^(2)+3/4)+cot^(-1)(2^(2)...

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