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Fill in the blanks: If y = 2 tan^-1 x...

Fill in the blanks:
If `y = 2 tan^-1 x + sin^-1 ((2x)/(1+x^2))` for all x, then ………… `le y le`…….

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PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Fill in the blanks: tan^-1(tan((4pi)/5)) is equal to ………….

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

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

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

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

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

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  7. True or False statements : cos^-1 { cos(13pi)/6)} = - pi/6

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  8. True or False statements : sin^-1 sqrt3 + cos^-1 sqrt3 = pi/2

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  9. True or False statements : sec^-1(1/sqrt3) + cosec^-1 (1/sqrt3) = pi...

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  10. True or False statements : tan^-1 2 + tan^-1 3 = - pi/4

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  11. True or False statements : cosec^-1 (cosec(9pi)/10)) = pi/10

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  12. The value of the expressions (cos^(-1)x)^(2) is equal to sec^(2)x.

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  13. All trigonometric functions have inverse over their respective domains...

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  14. Prove that tan(sin^-1 x) = (x/(sqrt 1-x^2)), 1 x 1 < 1

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  15. True or False statements : cot(cos^-1 x) = x/(sqrt(1-x^2) for |x| le...

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  16. True or False statements : sin^-1 sqrtx + sec^-1 (1/sqrtx) = pi/2 fo...

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  17. The minimum value of n for which tan^(-1)""n/pi lt pi/4, n in N, is va...

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  18. The domain of trigonometric functions can be restricted to any one of ...

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  19. The least numerical value, either positive or negative of angle theta ...

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  20. The graph of y = 6 is a line

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