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For the principal value, evaluate sin^...

For the principal value, evaluate `sin^(-1)(-(sqrt(3))/2)-2sec^(-1)(2tan(pi/6))`

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`sin^(-1)(-(sqrt(3))/2)-2sec^(-1)(2tan(pi/6))`
`= sin^(-1)(-(sqrt(3))/2)-2sec^(-1)(2 xx 1/sqrt3)`
`=-pi/3-2 xx pi/6`
`=-pi/3-pi/3`
`=-(2 pi)/3`
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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
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  2. For the principal value, evaluate tan^(-1)sqrt(3)-sec^(-1)(-2)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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