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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

'0 le y le pi'

B

'-pi/2 le y le pi/2'

C

'0ltyltpi'

D

'-pi/2ltyltpi/2'

Text Solution

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The correct Answer is:
B
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V PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Find the values of the following tan ^(-1)(1)+cos ^(-1)(-1/2)+sin ^(-1...

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

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

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  4. Find tan^(-1) sqrt3 -sec^(-1)(-2)

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  5. Prove that tan^-1 (1/2)+tan^-1(2/11)=tan^-1(3/4)

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  6. Express tan^-1(frac(cosx)(1-sinx)) in the simplest Form.

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  7. Express cot ^(-1)(1/(sqrt(x^2-1))),|x|gt1 in the simplest form.

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  8. Prove that tan ^(-1) x+tan ^(-1) ((2 x)/(1-x^2))=tan ^(-1)((3 x-x^3)/(...

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  9. Find the value of cos(sec ^(-1) x+cosec^(-1) x),|x| ge 1

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

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

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

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

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

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

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

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

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

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

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  20. Find the values of each of the following tan ^(-1)[2 cos (2 sin ^(-1) ...

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