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The value of an inverse trigonometric fu...

The value of an inverse trigonometric function, which lies in range of principal branch is called the principal value of that inverse trigonometric functions.

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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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