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Find the domain of sec^(-1)(3x-1) (ii) ...

Find the domain of `sec^(-1)(3x-1)` (ii) `sec^(-1)x-tan^(-1)x`

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`3x−1<−1` and `3x−1>=1`
`3x<−1+1` and `3x>=1+1`
`3x<0` and `3x>=2`
`x<0` and `x>= 2/3 `​ ...
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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. For the principal value, evaluate sin^(-1)(-(sqrt(3))/2)-2sec^(-1)(2...

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  2. Find the domain of sec^(-1)(3x-1) (ii) sec^(-1)x-tan^(-1)x

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  3. Find the domain of sec^(-1)(3x-1) (ii) sec^(-1)x-tan^(-1)x

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  4. Find the principal values of "c o s e c"^(-1)(2) and "c o s e c"^(-...

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  5. Find the set of values of "c o s e c"^(-1)(-1/2) .

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  6. For the principal values, evaluate the following: cot^(-1)(-1)+cos e ...

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  7. For the principal values, evaluate each of the following: tan^(-1)sqr...

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  8. If "c o s e c"^(-1)x+"c o s e c"^(-1)y+"c o s e c"^(-1)z=-(3pi)/2 , fi...

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  9. Find the principal values of each of the following: (i) "cosec"^(-1)(...

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  10. Find the principal values of each of the following: (i) "c o s e c"^...

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  11. Find the set of values of "c o s e c"^(-1)((sqrt(3))/2)

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  12. For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))...

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  13. For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))...

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  14. Find the set of values of cot^(-1)(1) and cot^(-1)(-1)

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  15. Find the principal values of cot^(-1)sqrt(3) and cot^(-1)(-1)

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  16. For the principal values, evaluate the following: cot^(-1)(-1)+cos e ...

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  17. For the principal values, evaluate the following: cot^(-1)(-1)+cos e ...

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  18. Find the principal values of each of the following: cot^(-1)(-sqrt(...

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  19. Find the principal values of each of the following: (i) cot^(-1)(-...

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  20. Find the domain of cotx + cot^-1 x

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