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Find the set of values of "c o s e c"...

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

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Domain of `y = cosec^(–1) x` is `(– oo, 1] cup [1, oo]`
But, `sqrt3/2 <1`
Hence the set of values of `cosec^(-1)(sqrt3/2)` is an empty set.
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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. Find the principal values of each of the following: (i) "cosec"^(-1)(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Evaluate each of the following: (i)sin^(-1)(sin(-600^o)) (ii)\ cos^(...

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  18. Express each of the following in the simplest form: tan^(-1){sqrt((...

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  19. Express each of the following in the simplest form: tan^(-1){(cosx)...

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  20. Prove that: (i)tan^(-1){(sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqr...

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