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Fill in the blanks: Principal value of...

Fill in the blanks:
Principal value of the function `tan^-1` x lie in the interval……….

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PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. The principal value of tan^(-1)sqrt(3) is ............... .

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  2. Find the value of sin^-1(sin (3pi/5))

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  3. Fill in the blanks: Principal value of the function tan^-1 x lie in ...

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  4. Fill in the blanks: tan^-1 1 + sin^-1 (-sqrt3/2) + cos^-1 (-sqrt3/2)...

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  5. Principal value of cos^-1 (-1/2) is :

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  6. Fill in the blanks: The value of cos^-1 (cos 14pi/3) is …………

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  7. Fill in the blanks: The set of values of sec^-1 (1/2) is ……………

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  8. Fill in the blanks: For x in R, tan^-1 (x^2 +1) + cot^-1 (x^2 +1) is...

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  9. Fill in the blanks: If cos^-1 (-x) = alpha - cos^-1 x, then the valu...

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  10. Fill in the blanks: For |x| ge sqrt2, sec^-1 sqrt(x^2 -1) + cosec^-1...

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  11. Fill in the blanks: The value of cot^-1 (-x), for all x in R, in ter...

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  12. Fill in the blanks: If cos(tan^-1 x + cot^-1 sqrt3) = 0, then value ...

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  13. The value of cos (sin^-1 x + cos^-1 x) is equal to :

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  14. Fill in the blanks: The value of the expression tan((sin^-1 x + cos^...

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  15. Fill in the blanks: tan^-1(tan((4pi)/5)) is equal to ………….

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  16. Fill in the blanks: tan^-1sqrt3- sec^-1 (-sqrt2) is equal to ………….

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  17. Fill in the blanks: If y = 2 tan^-1 x + sin^-1 ((2x)/(1+x^2)) for a...

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  18. Fill in the blanks: For x^2 > 1, sec (cosec^-1 x) + cosec (sec^-1 x)...

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  19. Find the value of sin(2tan^-1(2/3)) + cos (tan^-1sqrt3)

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  20. True or False statements : cos^-1{cos((9pi)/(8)} = (7pi)/8

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