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

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

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1)`cosec^(-1)(2)`
`=cosec^(-1)(2)=theta`
`2=cosec(theta)`
`theta=pi/6`

2)`cosec^(-1)(-2/sqrt3)=theta`
`cosec theta=-2/sqrt3=-cosec (pi/3)=cosec(-pi/3)`
`theta=-pi/3`
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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
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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 principal values of "c o s e c"^(-1)(2) and "c o s e c"^(-...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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