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

If `sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2` there `0 lt 1xx1ltsqrt2`, then x equals

A

`1/2`

B

1

C

`-1/2`

D

`-1`

Text Solution

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The correct Answer is:
B
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ML KHANNA-INVERSE CIRCULAR FUNCTIONS -Problem Set (3)(MULTIPLE CHOICE QUESTIONS)
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  4. If cos^(-1)x gt sin^(-1) x, then

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  6. If x+y+z=xyz, then tan^(-1)x+tan^(-1)y+tan^(-1)z=

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  7. If xy +yz+zx=1 then tan^(-1)x+tan^(-1)y+tan^(-1)z=

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  8. If 4sin^(-1)x+cos^(-1)x=pi, then x is equal to

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  9. If (tan^(-1)x)^2+(cot^(-1)x)^2=(5pi^2)/8, then find xdot

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  10. The value of tan^(2)(sec^(-1)2)+cot^(2)(cosec^(-1)3) is

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  11. If (sin^(-1)x)^(2)+(cos^(-1)x)^(2)=(5pi^(2))/(8) then x =

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

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  13. If tan(x+y)=33, and x= tan^(-1)3, then: y=

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  14. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2 then the value of x^(100)+y^(...

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  15. a^3/2 cosec^2(1/2 tan^(-1)""a/b)+b^3/2 sec^2(1/2tan^(-1)""b/a) is equa...

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  16. The number of the + ive integral solutions of tan^(-1)x+cos^(-1) "" y/...

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