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For the principal values, evaluate each of the following: `tan^(-1)sqrt(3)-sec^(-1)(-2)+cos e c^(-1)2/(sqrt(3))` `2sec^(-1)(2)-2cos e c^(-1)(-2)`

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`tan^(-1)sqrt(3)-sec^(-1)(-2)+cos e c^(-1)2/(sqrt(3))`
`pi/3-(2pi/3)+(pi/3)`
`=0`
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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. Find the set of values of "c o s e c"^(-1)(-1/2) .

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Evaluate each of the following: (i) cot^(-1)(1/(sqrt(3)))-"c o s e c...

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  18. Evaluate each of the following: (i)"c o s e c"^(-1)(-2/(sqrt(3)))+2c...

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  19. Evaluate each of the following: sin^(-1)(sinpi/3) (ii) cos^(-1)(cos...

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  20. Evaluate each of the following: sin^(-1)(sin(2pi)/3) (ii) cos^(-1)(...

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