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If tan^(-1) x + tan^(-1) y = (4pi)/(5), ...

If `tan^(-1) x + tan^(-1) y = (4pi)/(5)`, then ` cot^(-1) x + cot^(-1) y` equal to

A

`(pi)/(5)`

B

`(2pi)/(5)`

C

`(3pi)/(5)`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
A
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MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE
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  2. If cos((sin^(-1)2)/5+cos^(-1)x)=0 find the value of xdot

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  3. If tan^(-1) x + tan^(-1) y = (4pi)/(5), then cot^(-1) x + cot^(-1) y ...

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  4. If sin^(-1) ((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2))) = tan ^(-1)...

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

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  6. If : cos^(-1)x+cos^(-1)y+cos^(-1)z=3pi, " then :" x (y+z)+y(z+x)+z(x+y...

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  7. If y=2 tan ^(-1) x + sin^(-1) ((2x)/(1+x^(2))) " then: " y in

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  8. If tan^(-1)(a/x) + tan^(-1)(b/x) =pi/2, then: x=

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  9. If y = cot^(-1)(sqrt(tanalpha))-tan^(-1) (sqrt(tanalpha)), " than: " t...

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  10. sin{cot^(-1)[cos(tan^(-1)x)]}=....

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  11. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/(4)"than ...

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  12. If sin^(-1)x-cos^(-1)x=(pi)/(6), " then :" x=

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  13. tan^-1((x+1)/(x-1))+tan^-1((x-1)/x)=tan^-1(-7)

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  14. sec^(2)(tan^(-1)2) +"cosec"^(2)(cot^(-1)3)=

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  15. If sin^(-1)x+cot^(-1)(1/2)=(pi)/(2), " then : " x=

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  16. sin{tan^(-1)[(1-x^(2))/(2x)]+cos^(-1)[(1-x^(2))/(1+x^(2))]}=

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

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  18. If tan^(-1) 3 +tan^(-1)x=tan^(-1)87 then x =

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  19. Solve for x: tan^-1(x+1)+tan^-1(x-1)=tan^-1(8/31)

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

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