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Let the domain and range of inverse circ...

Let the domain and range of inverse circular functions are defined as follows:

If `xepsilon[-1,1]` then range of `tan^(-1)(-x)` is

A

`[(3pi)/(4),(7pi)/(4)]`

B

`[(3pi)/(4),(5pi)/(4)]`

C

`[-pi,0]`

D

`[-pi/4,pi/4]`

Text Solution

Verified by Experts

The correct Answer is:
D
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MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise -3
  1. Let the domain and range of inverse circular functions are defined as ...

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  2. Find the domain of defination the following functions. f(x)=arc cos...

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  3. The function f(x)=sqrt(cos(sinx))+sin^-1((1+x^2)/(2x)) is defined for ...

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  4. The domain of the function f(x)=sin^(-1)((x-3)/(2))-log(10)(4-x) is

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  5. Find the domain of defination the following functions. f(x)=(sqrt(1...

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  6. Find the domain of defination the following functions. f(x)=sqrt(3-...

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  7. Find the domain of definition the following function: f(x)=(log)(10...

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  8. Find the domain of defination the following functions. f(x)=e^(sin^...

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  9. f(x)=sqrt(sin(cosx))+ln(-2cos^2x+3cosx+1)+e^(cos^- 1)((2sinx+1)/(2sqrt...

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  10. sin^(-1) x+"cosec"^(-1)x at x=-1 is

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  11. Given is a partial graph of an even periodic function f whose period i...

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  12. sin^(-1)(sin.(7pi)/6) is

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  13. tan^(-1)("tan"(2pi)/3)

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  14. Evaluate each of the following cos^(-1) (cos""(5pi)/(4))

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  15. Evaluate each of the following sec^(-1) (sec ""(7pi)/(4))

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  16. Find the value of the following sin^(-1) (sin 5)

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  17. Find the value of the following cos^(-1) (cos 10)

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  18. The value of tan^(-1)tan(-6)is

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  19. Find the value of the following cot^(-1) (tan (-6))

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  20. Find the value of cos^(-1){1/sqrt2(cos((9pi)/10)-sin((9pi)/10))}.

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