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The equation 2Cos^(-1)x=Cos^(-1)(2x^(2)-...

The equation `2Cos^(-1)x=Cos^(-1)(2x^(2)-1)` is satisfied by

A

`-1 le x le 1`

B

`0 le x le 1`

C

`x ge 1`

D

`x le 1`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-INVERSE TRIGNOMETRIC FUNCTIONS-PRACTICE SHEET (EXERCISE-I) (LEVEL - I STRAIGHT OBJECTIVE TYPE QUESTIONS)
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  3. Sec^(2)(Tan^(-1)(2))+Cosec^(2)(Cot^(-1)(2))=

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  4. sin(1//2Cot^(-1)(-3//4))=

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  5. tan[1/2cos^(-1)((sqrt(5))/3)]=

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  6. If Sin^(-1)(x//5)+Cosec^(-1)(5//4)=pi//2 then a value of x is

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

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  8. If sin^(-1)(x-(x^(2))/2+(x^(3))/4-……oo) +cos^(-1)(x^(2)-(x^(4))/2+(x...

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  9. If (Tan^(-1)x)^(2)+(Cot^(-1)x)^(2)=(5pi^(2))/8 then =

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  10. If n in N, sum(k=1)^(n)sin^(-1(x(k))=(npi)/2 then the value of sum(k=1...

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  11. If sum(r=1)^(n)Cos^(-1)x(r)=0," then "sum(r=1)^(n)x(r) equals to

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  12. If theta in [pi/2, (3pi)/2]" then "Sin^(-1)(sintheta)=

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  13. If 0ltxlt1 then tan^(-1)(sqrt(1-x^(2))/(1+x))is equal to

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  14. If 1/2lexle1 then Cos^(-1)x+Cos^(-1)(x/2+1/2sqrt(3-3x^(2)))=

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  15. The equation 2Cos^(-1)x=Cos^(-1)(2x^(2)-1) is satisfied by

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  16. Simplify each of the following: tan^(-1)(x+sqrt(1+x^(2))),x in R

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  17. If tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2)))=k tan^(-1)(x/a) then k=

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  18. If sin^(-1)((2x)/(x^(2)+1))+cos^(-1)((1-x^(2))/(x^(2)+1))=(pi)/3 then ...

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  19. cos[2Sin^(-1)sqrt((1-x)/2)]=

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  20. tan((pi)/4+1/2"cos"^(-1)a/b)+tan((pi)/4-1/2"cos"^(-1)a/b)=

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