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Which of the following is the principal ...

Which of the following is the principal value branch of `cosec^(-1) x ?`

A

`(-(pi)/(2), (pi)/(2))`

B

`[0, pi]-((pi)/(2))`

C

`[-(pi)/(2), (pi)/(2)]`

D

`[-(pi)/(2), (pi)/(2)]-(0)`

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Which of the following corresponds to the principal value branch of ta...

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  2. Write the principal value branch of cos^(-1)x

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  3. Which of the following is the principal value branch of cosec^(-1) x ?

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  4. Write the principal value branch of cos^(-1)x

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  5. The value of sin^(-1)(cos ((43pi)/5)) is :

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  6. The principal value of the expression cos^(-1)[cos (-680^@)] is :

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  7. The value of cot (sin ^(-1) x) is

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  8. If tan ^(-1) x=(pi)/(10) for some x in R then the value of cot ^(-1) x...

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  9. Find the domain of sin^(-1)(2x)

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

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  11. If theta=sin ^(-1)[sin (-600^(circ))], then the value of theta is

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  12. The domain of the function y=sin ^(-1)(-x^(2)) is

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  13. The domain of y=cos ^(-1)(x^(2)-4) is

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  14. The domain of the function defind by : f(x) =sin^(-1) x + cos x is :

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  15. The value of sin (2 sin^(-1) (.6)) is :

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  16. If sin^(-1) x + sin^(-1) y=pi/2, then the value of cos^(-1) x +cos^(-1...

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

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  18. The value of the expression sin[cot^(-1) (cos (tan^(-1) 1))] is :

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  19. The equation tan^(-1) x-cot^(-1) x =tan^(-1) (1/sqrt3) has :

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  20. If alpha le 2 sin^(-1) x + cos^(-1) x le beta, then

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