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tan ^(-1) ""(x-1)/(x-2) + tan ^(-1) "...

`tan ^(-1) ""(x-1)/(x-2) + tan ^(-1) ""(x+1)/(x+2)=(pi)/(4)`

A

`pm(1)/(sqrt(2))`

B

`pmsqrt(2)`

C

`pm(1)/(2)`

D

`pm2`

Text Solution

Verified by Experts

The correct Answer is:
A
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
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  2. Solve tan^(-1)2x+tan^(-1)3x=pi/4.

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  3. tan ^(-1) ""(x-1)/(x-2) + tan ^(-1) ""(x+1)/(x+2)=(pi)/(4)

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  4. tan^(-1)""(x)/(y)-tan^(-1)""(x-y)/(x+y)

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  5. For DeltaABCifA=tan^(-1)2,B=tan^(-1)3, then C = .

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  6. In triangleABC, if angleA=90^(@)", then "tan^(-1)((c)/(a+b))+tan^(-1)(...

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  7. सिद्ध कीजिए कि cot^(-1)((ab+1)/(a-b))+cot^(-1)((bc+1)/(b-c))+cot^(...

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  8. If tan^-1x+tan^-1y+tan^-1z=pi/2,then

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  9. 4tan^(-1)""(1)/(5)-tan^(-1)""(1)/(239)=

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  10. 2tan^(-1)(cosx)=tan^(-1)(2cosecx)

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  11. If a,b,c be positive real numbers and the value of theta=tan^(- 1)sqrt...

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  12. Find the value of 4tan^(-1)1/5-tan^(-1)1/(70)+tan^(-1)1/(99)

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  13. सिद्ध कीजिए कि 2 tan^(-1)""(1)/(5)+sec^(-1)""(5sqrt(2))/(7)+2tan^...

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  14. Which one of the following is true?

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  15. Find the value of sin^(-1)(cos(sin^(-1)x))+cos^(-1)(sin(cos^(-1)x))

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  16. If "sin"^(-1)(1)/(3)+"sin"^(-1)(2)/(3)=sin^(-1)x, then the value of x...

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  17. If sin^(-1)x+cos^(-1)y=(2pi)/(5),"then "cos^(-1)x+sin^(-1)y=

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

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  19. The value of sin^(-1)((2sqrt(2))/(3))+sin^(-1)((1)/(3)) is

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  20. [sin(tan^(-1).(3)/(4))]^(2)=

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