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The value of sin((pi)/(3)-sin^(-1)(-(1)/...

The value of `sin((pi)/(3)-sin^(-1)(-(1)/(2)))` is

A

`(1)/(2)`

B

`(1)/(3)`

C

`(1)/(4)`

D

1

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Verified by Experts

The correct Answer is:
D
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BETTER CHOICE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)
  1. The value of sin((pi)/(3)-sin^(-1)(-(1)/(2))) is

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  2. The value of tan^(-1)x+cot^(-1)x is

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  3. The value of sec^(-1)x+cosec^(-1)x is

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  4. The value of cot (tan^-1 x + cot^-1 x) is equal to :

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  5. The value of cosec (sec^-1 x + cosec^-1 x) is equal to :

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  6. tan^-1(1) -cot^-1(-1) is equal to :

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  7. tan^-1 (1/sqrt3)-cot^-1 (-1/sqrt3) is equal to :

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  8. Range of the function f(x)=sin^(-1)x is equal to

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  9. Principal value of sin^-1 (-frac{1}{2}) is :

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  10. If sin^-1 (x) + cos^-1(1/4) = pi/2, then value of x equals :

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  11. Find the value of sin^(-1)(sin""(2pi)/(3))

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  12. Find the value of sin^(-1)(sin""(2pi)/(3))

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  13. Prove that tan^(-1)""(1)/(2)+tan^(-1)""(2)/(11)=(1)/(2)sin^(-1)""(24)/...

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  14. Prove that tan^(-1)""(2)/(11)+tan^(-1)""(7)/(24)=(1)/(2)cos^(-1)""(3)/...

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  15. Prove that tan^(-1)""(1)/(4)+tan^(-1)""(2)/(9)=(1)/(2)tan^(-1)""(4)/(3...

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  16. Prove that sin^(-1)""(3)/(5)+sin^(-1)""(4)/(5)=(pi)/(2)

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  17. Prove that cos^(-1)""(3)/(5)+cos^(-1)""(4)/(5)=(pi)/(2)

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  18. Prove that tan^(-1)((sqrt(1-x^(2)))/(1+x))=(1)/(2)cos^(-1)x

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  19. Prove that cos^(-1)""(12)/(13)+sin^(-1)""(3)/(5)=sin^(-1)""(56)/(65)

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  20. Show that sin^(-1)""(3)/(5)-sin^(-1)""(8)/(17)=cos^(-1)""(84)/(85)

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  21. Find the value of tan(sin^(-1)""(3)/(5)-cot^(-1)""(3)/(2))

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