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True or False statements : cot(cos^-1 ...

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

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PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. All trigonometric functions have inverse over their respective domains...

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

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

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

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

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

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

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  8. The graph of y = 6 is a line

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  9. The principal value of sin^(-1)[cos(sin^(-1)""1/2)]" is "pi/3.

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  10. The graph of inverse trigonometric function can be obtained from the g...

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  11. tan 1gttan^(-1) 1

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  12. Match the following

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  13. sin^-1 (sin y) = y if y lies in the interval

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  14. cos^-1 (sqrt3/2) is equal to

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  15. Domain of the function f (x) = sin^-1 x is equal to :

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  16. Domain of the function f (x) = tan^-1 x is equal to :

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  17. Which of the following is the principal value branch of cos^(-1)x ?

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  18. Which of the following is the principal value branch of cosec^(-1)x ?

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  19. sin (sin^-1 x + cos^-1 x) is equal to (-1 le x le 1)

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  20. If 3 tan^-1 x + cot^-1 x = pi, then x equals

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