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2tan^(-1)x=sin^(-1)""(2x)/(1+x^(2)), abs...

`2tan^(-1)x=sin^(-1)""(2x)/(1+x^(2)), abs(x) le 1`.

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ACCURATE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTIONS CARRYING 1 MARK - TYPE-III (TRUE OR FALSE QUESTIONS)
  1. tan^(-1)[sin(-pi/2)]=pi/4.

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  2. If sin^(-1)x=y," then "-pi/2 lt y lt pi/2.

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  3. 2tan^(-1)x=sin^(-1)""(2x)/(1+x^(2)), abs(x) le 1.

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  4. sin^(-1)(sin""(3pi)/5)=(2pi)/5.

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  5. cos^(-1)(cos""(13pi)/6)=pi/4.

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

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

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

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

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

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

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  12. Show that: The principal value of sin^(-1)[cos(sin^(-1)""1/2)]" is "pi...

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  13. Whether the given statement is true or not ..... sin^(-1)x= (sinx)^(-...

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  14. The value of an inverse trigonometric function, which lies in range of...

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  15. The principal value of sec^(-1)(-2)" is "(2pi)/3.

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  16. tan^(-1)[sin(-pi/2)]=pi/4.

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  17. If sin^(-1)x=y," then "-pi/2 lt y lt pi/2.

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  18. 2tan^(-1)x=sin^(-1)""(2x)/(1+x^(2)), abs(x) le 1.

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  19. sin^(-1)(sin""(3pi)/5)=(2pi)/5.

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  20. cos^(-1)(cos""(13pi)/6)=pi/4.

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