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"Tan"^(-1)(c(1)x-y)/(c(1)y+x)+"Tan"^(-1)...

`"Tan"^(-1)(c_(1)x-y)/(c_(1)y+x)+"Tan"^(-1)(c_(2)-c_(1))/(1+c_(2)c_(1))+"Tan"^(-1)(c_(3)-c_(2))/(1+c_(3)c_(2))+..."Tan"^(-1)1/c_(n)=`

A

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

B

`Tan^(-1)(xy)`

C

`Tan^(-1)(x//y)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
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  4. If "Tan"^(-1)1/(1+2)+"Tan"^(-1)1/(1+(2)(3))+"Tan"^(-1)1/(1+(3)(4))+......

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

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  10. If y is infinite and tan^(-1)y=4tan^(-1)x then

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  11. If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi then x+y+z=

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  12. If Tan^(-1)x+Tan^(-1)y+Tan^(-1)z=pi//2 then 1 - xy - yz - zx =

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  14. If Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=pi//2,"then "x^(2)+y^(2)+z^(2)+2xyz=

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  15. If Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=pi then prove that n xsqrt(1-x^(2))+y...

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  17. If Cos^(-1)(x/a)+Cos^(-1)(y/b)=theta,"then "x^(2)/a^(2)-(2xy)/(ab)cost...

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  18. If Cos^(-1)(x//2)+Cos^(-1)(y//3)=theta" then "9x^(2)-12xycostheta+4y^(...

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