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The principal value of sin^(-1) (-sqrt3/...

The principal value of `sin^(-1) (-sqrt3/2)` is :

A

`-(2 pi)/(3)`

B

`-(pi)/(3)`

C

`(4 pi)/(3)`

D

`(5 pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If sin ^(-1) x+sin ^(-1)(1-x)=cos ^(-1) x, then x in

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

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  3. The principal value of sin^(-1) (-sqrt3/2) is :

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  4. The domain of sin ^(-1) x is

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  5. If sin ^(-1) (1)/(3)+sin ^(-1) (2)/(3)=sin ^(-1) x, then the value of ...

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  6. If sin ^(-1) x+cot ^(-1) (1)/(2)=(pi)/(2), then x=

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  7. The value of cos^(-1) ("cos" (5pi)/3)+sin^(-1) ("sin"(5pi)/3) is :

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  8. If sec ^(-1) x=cosec^(-1) y then cos ^(-1) (1)/(x)+cos ^(-1) (1)/(y)=

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  9. If 0 le x le 1 and theta = sin^(-1) x + cos^(-1) x - tan^(-1) x, then

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  10. sec (cosec^(-1) x)=

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  11. tan [sin ^(-1)((3)/(5))-cos ^(-1)(-(4)/(5))]=

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  12. If 2 tan ^(-1)(cos x)=tan ^(-1)cosec^(2) x) then x=

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  13. The value of x for which sin (cot^(-1) (1+x))=cos (tan^(-1) x) is :

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  14. The values of x satisfying tan ^(-1)(x+3)-tan ^(-1)(x-3)=sin ^(-1)((3...

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  15. cos ^(-1) (1)/(2)+2 sin ^(-1) (1)/(2)=

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  16. The value of tan (cos ^(-1) (4)/(5)+tan ^(-1) (2)/(3)) is

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  17. (C(0))/(1)-(C(1))/(2)+(C(2))/(3)+.. . .+((-1)^(n))/(n+1). C(n) =

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  18. The number of real solutions of the equation tan^(-1) sqrt( x ( x + 1)...

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  19. If tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x,xgt0 find x

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  20. If sum(r=1)^(infty) tan ^(-1)((1)/(2 r^(2)))=t then tan t is equal to

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