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If A tan^(-1) x ,x in R then the value o...

If `A tan^(-1) x ,x in R` then the value of sin 2A is

A

`2x//(1-x^2)`

B

`2x//(x^2-1)`

C

`2x//(1+x^2)`

D

none of these

Text Solution

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The correct Answer is:
C
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ML KHANNA-INVERSE CIRCULAR FUNCTIONS -Self Assessment Test
  1. If cos^(-1)" 1/x=theta , " then " tan theta=

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  2. If A tan^(-1) x ,x in R then the value of sin 2A is

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  3. Write the value of sin(cot^(-1)x) .

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  4. The value of cos^(-1){(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx -sqr...

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  5. The value of sin^(-1) x+cos^(-1)x(absx le 1) is

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  6. If sin(sin^(-1)1/5+cos^(-1)x) =1 then x is equal to

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  7. The value of cos^(-1)(-1)-sin^(-1)(1) is- pi b. pi/2 c. (3pi)/2 d. -(3...

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  8. If sin^(-1) sqrt(x^2+2x+1sec^(-1)) sqrt(x^2+2x+1) = pi/2, x ne 0 then ...

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  9. tan^(-1) ""1/3+tan^(-1)""2/9+tan^(-1)"" 4/33 +….oo is equal to

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  10. Find the set of values of parameter a so that the equation (sin^(-1)x)...

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  11. If sin(sin^(-1)1/5+cos^(-1)x) =1 then x is equal to

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  12. The value of cot[cos^(-1)(7/25)] is

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  13. If x takes negative permissible vlaue then sin^(-1)x=

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  14. cot^(-1)9 + cos^(-1)sqrt(41)/4=

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  15. The principal value of "sin"^(-1)("sin""(5pi)/(3)) is

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  16. The solution set of the equation sin^(-1)x=2 tan^(-1)x is

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  17. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(pi)/(2), then the value of x^(2)+y^(...

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  20. If sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/(1+b^2))=2tan^(-1)x , then x i...

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