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Range of Sin^(-1)x+Cos^(-1)x+Tan^(-1)x i...

Range of `Sin^(-1)x+Cos^(-1)x+Tan^(-1)x` is

A

`(0,(pi)/(2))`

B

`(0,pi]`

C

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

D

`[0,pi]`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-REVISION EXERCISE-INVERSE TRIGONOMETRIC FUNCTIONS
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  7. If a(1),a(2),a(3),...a(n) are in A.P. with common difference d, then t...

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  8. The number of solution of the equation Tan^(-1) sqrt(x^(2)+x)+"Cosec"^...

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  9. The number of real solutions of Tan^(-1)sqrt(x(x+1))+Sin^(-1)sqrt(x^(2...

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  10. If x(1),x(2),x(3) are the roots of x^(3)-6x^(2)+11x-6=0 then cot^(-1)(...

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  11. If A=Tan^(-1)((1)/(7)), B=Cot^(-1)(3) then

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  12. Cot^(-1)(sqrt(Cos alpha))-Tan^(-1)( sqrt(Cos alpha))=x then Sinx=

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  13. If 1/2 le x le 1, then cos^(-1)x+cos^(-1)(x/2+1/2sqrt(3-3x^2)) is equ...

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  14. cos^(-1) sqrt((a-x)/(a-b))= sin^(-1) sqrt((x-b)/(a-b)) is possible if

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  18. 2"Tan"^(-1)(1)/(5)+"Sec"^(-1)(5 sqrt(2))/(7)+"Tan"^(-1)(1)/(8)=

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  19. If "Tan"^(-1)1/(1+2)+"Tan"^(-1)1/(1+(2)(3))+"Tan"^(-1)1/(1+(3)(4))+......

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  20. If x=tan^(-1)(1)+cos^(-1)(-1//2)+sin^(-1)(-1//2) and y=cos[1//2 cos^(-...

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