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सिद्ध कीजिए - tan^(-1).(3)/(4)+tan^(-1...

सिद्ध कीजिए -
`tan^(-1).(3)/(4)+tan^(-1).(3)/(5)-tan^(-1).(8)/(19)=(pi)/(4).`

A

`(pi)/(4)`

B

`(pi)/(3)`

C

`(pi)/(6)`

D

`(2pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Critical Thinking
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  2. cos(tan^(-1)((1)/(3))+tan^(-1)((1)/(2)))=

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  3. cos^-1(4/5)+tan^-1(3/5)=tan^-1(27/11)

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  4. If "tan"^(-1)(x-1)/(x-2)+"tan"^(-1)(x+1)/(x+2)=(pi)/4, find x

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  6. If tan^(-1).(a+x)/(a) + tan ^(-1) ((a-x)/(a)) = (pi)/(6) then prove th...

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  7. Q. the value of tan^-1(a/(b+c))+tan^-1(b/(c+a)), if /=90^@ in triangle...

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  8. सिद्ध कीजिए - tan^(-1).(3)/(4)+tan^(-1).(3)/(5)-tan^(-1).(8)/(19)=(p...

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  9. If x^2 + y^2 + z^2 = r^2 and x, y, z > 0, then tan^-1((xy)/(zr))+tan...

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  10. If cj >0 for i=1,2, , n , prove that tan^(-1)((c1x-y)/(c1y+x))+tan^(-...

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  11. If a1, a2,a3, ,an is an A.P. with common difference d , then prove th...

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  12. tan[2tan^(- 1)(1/5)+pi/4]

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  13. sin[3sin^(-1)((1)/(5))] is equal to

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  14. The value of cot[cos^(-1)(7/25)] is

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  15. If cos(2sin^(-1)x)=1/9, then find the values of xdot

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

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  17. If: tan^(-1)x = sin^(-1)(3/sqrt(10)), then: x=

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  18. If we consider only the principal values then the value inverse trigon...

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  19. sin^(-1)""1/sqrt5+cot^(-1)3=pi/4

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  20. If |(cos(A+B),-sin(A+B),cos2B),(sinA,cosA, sinB),(-cosA, sinA, cosB)|=...

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