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Evaluate: tan^(-1)(tan(5pi)/6)+cos^(-1){...

Evaluate: `tan^(-1)(tan(5pi)/6)+cos^(-1){cos((13pi)/6)}`

A

`3pi`

B

`-(4pi)/(3)`

C

`(4pi)/(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
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MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE
  1. Find the value of sin(1/2cot^(-1)(-3/4))

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  2. tan [cos^(-1)((4)/(5)) +tan ^(-1)((2)/(3))]=....

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  3. Evaluate: tan^(-1)(tan(5pi)/6)+cos^(-1){cos((13pi)/6)}

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  4. Find the value of expression: sin(2tan^(-1)1/3)+cos(tan^(-1)2sqrt(2))

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  5. If a=cos (2.tan^(-1).(1)/(7))and b = sin (4.tan^(-1).(1)/(3))

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  6. If: cos(tan^(-1)x)=sin (cot^(-1).(3)/(4)), then : x =

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  7. Find the value of sin^(-1) ( cos. ( 33pi)/5) .

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  8. If cos((sin^(-1)2)/5+cos^(-1)x)=0 find the value of xdot

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

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

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

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

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

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

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

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

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

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

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

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