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If sin^(-1) ((2a)/(1+a^(2)))-cos^(-1)((1...

If `sin^(-1) ((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2))) = tan ^(-1) ((2x)/(1-x^(2))),` then : x =

A

`(a-b)/(1+ab)`

B

`(1+ab)/(a-b)`

C

`(ab-1)/(a+b)`

D

`(ab+1)/(a-b)`

Text Solution

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The correct Answer is:
A
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MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE
  1. sin^-1(cos x)+tan ^-1(cot x)

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

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

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  4. If xge1 , " then :" 2 tan^(-1)x+sin^(-1)((2x)/(1+x^(2)))=...

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  5. Prove that tan("pi"/4+1/2"cos"^(-1)"\ \ ""a"/"b")+"tan\ "("pi"/4+1/2"c...

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  6. Show that: cos(2tan^(-1)1/7)=sin(4^(-1)1/3)

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  7. If x=sin(2tan^(- 1)2), y=sin(1/2tan^(- 1)(4/3)) , then -

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  8. cos^(-1)((1)/2)+2sin ^(-1)((1)/(2))=...

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  9. Find the value of sin(1/2cot^(-1)(-3/4))

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

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

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

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

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

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

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

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

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

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

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  20. 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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