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If Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=(3pi)/2...

If `Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=(3pi)/2`, then the value of `x^(100)+y^(100)+z^(100)-9/(x^(101)+y^(101)+z^(101))`

A

-1

B

0

C

1

D

3

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
  1. If Cos^(-1)(x//2)+Cos^(-1)(y//3)=theta" then "9x^(2)-12xycostheta+4y^(...

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  2. If Sin^(-1)x+Sin^(-1)y=2pi//3,"then "Cos^(-1)x+Cos^(-1)y=

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  3. If Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=(3pi)/2, then the value of x^(100)+y^...

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  4. If alpha = Tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2)...

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  5. If Tan^(-1)(1//7)=alpha,Tan^(-1)(1//3)=beta" then "cos2alpha=

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  6. Solve Sin^(-1)x +Sin^(-1)2x = (pi)/3.

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  7. If Tan^(-1)2x+Tan^(-1)3x=pi//4, then x =

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  8. If 2Tan^(-1)x+Sec^(-1)x=pi//2 then x =

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  9. If "Tan"^(-1)a/x+"Tan"^(-1)b/x=pi/2 then x =

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  10. If Tan^(-1)(1//(a-1))=Tan^(-1)(1//x)+Tan^(-1)[1//(a^(2)-x+1)], then x ...

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  11. If "Sin"^(-1)5/x+"Sin"^(-1)12/x=pi/2, then x =

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  12. If Sin^(-1)(x//5)+Cosec^(-1)(5//4)=pi//2 then a value of x is

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  13. If Sin^(-1)x-Cos^(-1)x = (pi)/6 then find x.

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  14. If Sin^(-1)x+Sin^(-1)(1-x)=Cos^(-1)x then x =

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  15. The equation Sin^(-1)x-Cos^(-1)x=Cos^(-1)(sqrt3//2) has

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

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

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

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

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

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