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A solution of the equation Tan^(-1)(1+x)...

A solution of the equation `Tan^(-1)(1+x)+Tan^(-1)(1-x)=pi//2` is

A

x = 1

B

x = -1

C

x = 0

D

`x=pi`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
  1. The equation Sin^(-1)x-Cos^(-1)x=Cos^(-1)(sqrt3//2) has

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  2. If Tan^(-1)(x+1)+Tan^(-1)(x-1)=Tan^(-1)(4//7), then x =

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  3. A solution of the equation Tan^(-1)(1+x)+Tan^(-1)(1-x)=pi//2 is

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  4. Sin^(-1)x-Cos^(-1)x=Sin^(-1)(3x-2),"if "xgt0 then x =

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  5. If 2Tan^(-1)(cosx)=Tan^(-1)(2cosecx) then x =

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  6. tan(Cos^(-1)1//x)=sin(Cot^(-1)1//2),"if "xne0 then x =

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  7. The value of x where xgt0andtan(Sec^(-1)(1/x))=sin(Tan^(-1)2) is

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  8. If Sin^(-1)((2a)/(1+a^(2)))+Sin^(-1)((2b)/(1+b^(2)))=2Tan^(-1)x, then ...

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  9. If Tan^(-1)((x-1)/(x-2))+Cot^(-1)((x+2)/(x+1))=pi/4, then x =

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  10. If Tan^(-1)((x+1)/(x-1))+Tan^(-1)((x-1)/x)=pi+Tan^(-1)(-7), then x =

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  11. If 3Tan^(-1)(1/(2+sqrt3))-Tan^(-1)(1/x)=Tan^(-1)(1/3), then x =

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  12. If "Cot"^(-1)4/3+"Cot"^(-1)5/3=Tan^(-1)k, then k =

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  13. If "Sec"^(-1)1/(sqrt(1-x^(2)))+"Cot"^(-1)(sqrt(1-x^(2)))/x=Sin^(-1)k, ...

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  14. If Cos^(-1)x=Cot^(-1)(4//3)+Tan^(-1)(1//7) then x =

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  15. If Sin^(-1)(3//5)+Sin^(-1)(5//13)=Sin^(-1)x, then x =

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  16. If "Cos"^(-1)3/5-"Sin"^(-1)4/5=Cos^(-1)x then x =

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  17. If Sin^(-1)(3/x)+Sin^(-1)(4/x)=pi/2 then x =

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  18. If Cot^(-1)x+Sin^(-1)(1//sqrt5)=pi//4, then the value of x is

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  19. If Cosec^(-1)x=2Cot^(-1)7+Cos^(-1)(3//5) then the value of x is

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  20. If Tan^(-1)(secx+tanx)=pi//4+kx then k =

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