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If sin^(-1) x=y,then find the range of y...

If `sin^(-1) x=y,`then find the range of y

A

`0le ylepi`

B

`-pi/2leylepi/2`

C

`0ltyltpi`

D

`-pi/2ltyltpi/2`

Text Solution

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The correct Answer is:
B
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A N EXCEL PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If sin^(-1) x=y,then find the range of y

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  2. prove that tan^(-1) sqrt x = 1/2 cos^(-1)((1-x)/(1+x)), x in [0,1]

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

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

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

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

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  7. Write the following functions in the simplest form : tan^(-1)((sqrt(...

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  8. Write the following functions in the simplest form : tan^(-1)(1/sqrt...

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  9. Write the following functions in the simplest form : tan^(-1) sqrt((...

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  10. Write the following functions in the simplest form : tan^(-1)((cos x...

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  11. Write the following functions in the simplest form : tan^(-1) (x/sqr...

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  12. Write the following functions in the simplest form : tan^(-1)((3a^2x...

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  13. Find the value of tan^(-1)[2 cos(2sin^(-1)frac(1)(2) )]

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  14. Find the value of cot(tan^(-1) a + cot^(-1) a)

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  15. Find the values of the following tan frac(1)(2) [sin^(-1)((2x)/(1+x...

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  16. If sin(sin^-1(frac(1)(5))+cos^-1(x))=1

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  17. If tan^(-1) ((x-1)/(x-2)) + tan^(-1) ((x+1)/(x+2)) = pi/4. then find t...

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

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  19. Find the values of the following : tan^(-1)(tan frac (3pi)4)

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  20. Evaluate tan(sin^-1frac(3)(5)+cot^-1frac(3)(2))

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  21. find the value of cos^-1cos((7pi)/3)

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