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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 `x^2013+y^2013+z^2013-9/(x^2013+y^2013+z^2013)` is equal to

A

1

B

0

C

-1

D

-3

Text Solution

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The correct Answer is:
B
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AAKASH INSTITUTE-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
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  2. The value of tan[1/2cos^(-1).sqrt5/3] is

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  3. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2, Then x^2013+y^2013+z^2013-9/...

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  4. sin^(- 1)(4/5)+2tan^(- 1)(1/3)=

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  5. 1/2tan^(- 1)(12/5) is equal to

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  6. Value of sec^(-1)(sec.(4pi)/3) is

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  7. Find the value of expression: sin(2tan^(-1)1/3)+cos(tan^(-1)2sqrt(2))

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  8. Find : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)= ?

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  9. cos^(-1)(-x),absx le 1, is equal to

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  10. cosec^(-1)(-x),x in R-(-1,1), is equal to

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  11. cot^(-1)(-2) is equal to

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  12. If "sin"{cot^(-1)(x+1)}="cos"(tan^(-1)x), then find xdot

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  13. If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2 th...

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  14. if tan^(-1)(1/x)+cos^(-1)(2/sqrt5)=pi/4 then x equals

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

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  16. If x1=cos^(-1)(3/5)+cos^(-1)((2sqrt2)/3)and x2=sin^(-1)(3/5)+sin^(-1)(...

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  17. If tan(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)2) then x is

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  18. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

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  19. Express in terms of : sin^(-1)(2xsqrt(1-x^(2))) to sin^(-1)x for 1gexg...

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  20. sin^(-1) (5/x) +sin^(-1) (12/x) =pi/2

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