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

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

A

`-(2pi)/(3)`

B

`(2pi)/(3)`

C

`(pi)/(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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BETTER CHOICE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)
  1. If sin^-1 (x) + cos^-1(1/4) = pi/2, then value of x equals :

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Prove that 3cos^(-1)x=cos^(-1)(4x^(3)-3x),x in[(1)/(2),1]

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  15. Write tan^(-1)((cosx-sinx)/(cosx+sinx)) in simplest form.

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  16. Find the value of tan^(-1)(tan""(3pi)/(4))

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  17. Find the value of cos^(-1)(cos""(13pi)/(6))

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  18. Prove that 2tan^(-1)""(1)/(3)+tan^(-1)""(1)/(7)=(pi)/(4)

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  19. Prove that 2tan^(-1)""(1)/(5)+tan^(-1)""(1)/(8)=tan^(-1)""(4)/(7)

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

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