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find the value of 2tan^-1 (1/3)+tan^-1(...

find the value of `2tan^-1 (1/3)+tan^-1( 1/7)`

A

`tan^(-1)(49/29)`

B

`(pi)/(2)`

C

`0`

D

`(pi)/(4)`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-INVERSE TRIGONOMETRIC FUNCTIONS -Exercise
  1. tan^(- 1)(1/4)+tan^(- 1)(2/9)=1/2tan^(- 1)(4/3)

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  2. If sin^(-1)(x/5)+cose c^(-1)(5/4)=pi/2 then a value of x is:

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  3. find the value of 2tan^-1 (1/3)+tan^-1( 1/7)

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  4. cos^(-1)(15/17)+2 tan^(-1)(1/5)=

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

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  6. sin^(-1)(3/5)+tan^(-1)(1/7)=

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  7. A solution of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=(pi)/(2) is

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  8. If x^2+y^2+z^2=r^2,t h e ntan^(-1)((x y)/(z r))+tan^(-1)((y z)/(x r))+...

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  9. If x + y + z = xyz and x, y, z gt 0, then find the value of tan^(-1) x...

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  10. If xy +yz+zx=1 then tan^(-1)x+tan^(-1)y+tan^(-1)z=

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  11. If x1,x2, x3, x4 are the roots of the equation x^4-x^3 sin2 beta+ x^2....

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  12. The value of cos (2Cos^-1 0.8) is

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  13. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

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  14. The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 7/(16) (...

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  15. The value of tan[1/2cos^(-1).sqrt5/3] is

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  16. If sin^(-1) ((2a)/(1+a^2))+ sin^(-1) ((2b)/(1+b^2)) = 2 tan^(-1)x then...

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  17. The value of cot^(-1){(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx) -sqr...

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  18. The value of sin[cot^(-1){cos(tan^(-1) x)}] is

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  19. If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to 4tan^(-...

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  20. If A=tan^-1((xsqrt3)/(2k-x)) and B=tan^-1((2x-k)/(ksqrt3)) then find t...

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