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Find the principal value of sec^(-1)(...

Find the principal value of `sec^(-1)((-2)/(sqrt(3)))`

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`sec^(-1)((-2)/(sqrt(3)))=y`
`sec y=frac{2}{sqrt3}=sec(pi/6)`
The principal value of `sec^(-1)((-2)/(sqrt(3)))` is `pi/6`
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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. Evaluate: tan^(-1)(tan((5pi)/6))+cos^(-1){cos(((13pi)/6))}

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  2. Find the principal value of sec^(-1)(2)

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  3. Find the principal value of sec^(-1)((-2)/(sqrt(3)))

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  4. Find the set of values of sec^(-1)((sqrt(3))/2)

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  5. Find the principal values of sec^(-1)(2/(sqrt(3))) and sec^(-1)(-2)

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  6. Find the domain of sec^(-1)(2x+1) .

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  7. Find the principal values of each of the following: sec^(-1)(-sqrt(...

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  8. Find the principal values of each of the following: sec^(-1)(2sin((3...

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  9. For the principal value, evaluate tan^(-1)sqrt(3)-sec^(-1)(-2)

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  10. For the principal value, evaluate sin^(-1)(-(sqrt(3))/2)-2sec^(-1)(2...

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

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

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

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

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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 each of the following: tan^(-1)sqr...

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

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

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

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