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Identify the pair(s) of functions which ...

Identify the pair(s) of functions which are identical

A

`y=tan(cos^(-1)x),y=(sqrt(1-x^(2)))/x`

B

`y=tan(cot^(-1)x),y=1/x`

C

`y=sin(arc ta x),y=x/(sqrt(1+x^(2)))`

D

`y=cos(tan^(-1)x),y=sin(cot^(-1)x)`

Text Solution

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The correct Answer is:
A, B, C, D
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AAKASH SERIES-INVERSET TRIGONOMETRIC FUNCTIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) SINGLE ANSWER TYPE QUESTIOS)
  1. The range of value of p for which the equation sincos^(-1)(cos(tan^(-1...

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  2. The solutio set of the equation sin^(-1)sqrt(1-x^(2))+cos^(-1)x="cot"^...

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  3. The solution set of the equation 2cos^(-1)x=cot^(-1)((2x^(2)-1)/(2xsqr...

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  4. Exhaustive set of parameter 'a' so that sin^(-1)x-tan^(-1)x=a has a so...

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  5. The sum of roots of the equation cos^(-1)(cosx)=[x] (where [.] is G.I....

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  6. If [sin^(-1)cos^(-1)sin^(-1)tan^(-1)x]=1, where [.] denotes the greate...

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  7. If sin^(-1)(sin((2x^(2)+4)/(1+x^(2))))lt pi-3 then x satisfies.

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  8. Find the number of quadrant angles in the range of sin^(-1)x+cos^(-1)x...

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  9. If 0 lt A lt pi/4, then prove that tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+t...

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  10. The range of f(x)=cot^(-1)(2x-x^(2)) is

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  11. If -(pi)/2 lt alpha lt (pi)/2 then prove that tan^(-1)((3sin 2 alpha)/...

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  12. Let g(x) = ax+b, where a lt 0 and g is defined from [1,3] onto [0,2] t...

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  13. Find the value of cos^(-1)sqrt(2/3)-cos^(-1)""(sqrt(6)+1)/(2sqrt(3))

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  14. If [.] denotes the greatest integer function, then find the value of [...

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  15. If x lt -1," then "2tan^(-1)x+sin^(-1)((2x)/(1+x^(2)))=

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  16. If cos^(-1)x=3cos^(-1)(3a-2) has a solution, then

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  17. Find the value of sin^(-1)(sin2011^(0))+cos^(-1)(cos2011^(0))+tan^(-1)...

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  18. Find the number of real solutions of (pi)/2+cos^(-1)(cosx)=|tanx|,0lex...

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  19. Find the range of cosec^(-1)[1+sin^(2)x], where [.] denotes the greate...

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  20. Identify the pair(s) of functions which are identical

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