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If sin^-1 x = y, then 0 le y le pi...

If `sin^-1 x = y`, then `0 le y le pi`

A

`0 le y le pi`

B

`- pi/2 le y le pi/2`

C

`0 lt y lt pi`

D

`- pi/2 lt y lt pi/2`

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PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Find the values of the following tan^-1(1) + cos^-1(-1/2) + sin^-1(-...

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  2. Find the values of the following cos^-1(1/2) + 2 sin^-1(1/2)

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  3. If sin^-1 x = y, then 0 le y le pi

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  4. tan^-1 sqrt3 - sec^-1 (-2) is equal to :

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  5. Prove the following: 3sin^–1 x = sin^–1 (3x – 4x^3), x in [–1/2 , 1/2]

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  6. Prove the following: 3cos^–1 x = cos^–1 (4x^3 – 3x), x in [1/2,1]

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  7. Prove the following: tan^–1 (2/11) + tan^-1 (7/24) = tan^-1 (1/2)

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  8. Prove that : 2tan^-1 (1/2) + tan^-1 (1/7) = tan^-1 (31/17)

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  9. Write the following function in the simplest form: tan^-1 ((sqrt(1+x^2...

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  10. Write the following function in the simplest form : tan^-1 (1/sqrt(x^2...

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  11. Write the following functions in the simplest form: tan^-1((sqrt(1-c...

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  12. Write the following function in the simplest form: tan -1 ((cosx - sin...

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  13. Write the following functions in the simplest form: tan^-1(x/(sqrt(a...

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  14. Write the following function in the simplest form : tan^-1 ((3a^2 x - ...

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  15. Find the value of the following: tan^-1[2 cos(2sin^-1(1/2))]

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  16. Find the value of each of the following: cot(tan^-1 a + cot^-1 a )

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  17. Find the value of the following: tan1/2[sin^-1(2x/(1+x^2)) + cos^-1(1-...

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  18. If 'sin(sin^-1(1/5) + cos^-1x)=1, then find the value of 'x'

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  19. If tan^-1 ((x-1)/(x-2))+tan^-1((x+1)/(x+2))=pi/4, then find the value ...

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  20. Find the values of each of the expressions sin^-1(sin((2pi)/3))

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