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Prove that tan^(-1) (1/4) + tan^(-1) (2...

Prove that `tan^(-1) (1/4) + tan^(-1) (2/9) = 1/2 sin^(-1) (4/5)`

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    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Section D|2 Videos

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Prove that tan^-1(1/4)+ tan^-1(2/9) = 1/2sin^-1(4/5)

Prove that tan ^(-1) ""(1)/(4) + tan ^(-1) ""(2)/(9) = cos ^(-1) ((2)/(sqrt5))

tan^(- 1)(1/4)+tan^(- 1)(2/9)=1/2tan^(- 1)(4/3)

tan^(- 1)(1/4)+tan^(- 1)(2/9)=1/2tan^(- 1)(4/3)

Prove: 4 tan^(-1) (1/5 )- tan^(-1)( 1/239) = pi/4

Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)

Prove that: tan^-1(1/4)+tan^-1(2/9)=1/2 cos^-1(3/5) .

Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)=1/2sin^(-1)(4/5)

Prove that : tan^(-1)(1/2) + tan^(-1)(1/3) = tan^(-1)(3/5) + tan^(-1)(1/4) = pi/4

Prove: tan^(-1)(1/4)+tan^(-1)(2/9)=sin^(-1)(1/sqrt(5))

XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. Using the method of integration find the area of the triangle ABC, co...

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  2. Find the points of intersection of the line vecr = (2hati - hatj + 2h...

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  3. Prove that tan^(-1) (1/4) + tan^(-1) (2/9) = 1/2 sin^(-1) (4/5)

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  4. The vectors 3 hat i- hat j +2 hat k', 2 hat i+hat j + 3 hat k and hat ...

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  5. Find : int{(x^3 + 1)/(x^3-x)}dx

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  6. If tan^(-1)(Y/X) = log (sqrt(X^2+Y^2)) , prove that (dy/dx) = ((X+Y)/(...

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  7. Find the shortest distance between the lines vecr = 2hati - hatj + hat...

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  8. Find: int((tan^(3)x)/(cos^(3)x)) dx

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  9. Solve the following differential equation: (1+ e ^(y/x)) dy + e^(y...

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  10. Find f'(x) if f(x) = tan x^(tan x)

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  11. If y=e^(acos^(-1)x),-1lt=x<1, show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(d...

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  12. If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

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  13. The area of the triangle formed by the vertices O, A, and B, where vec...

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  14. If A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)] , find A^(-1) and use it t...

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  15. The vectors 3hati - hatj +2hatk, 2hati+hatj+3hatk and hati+lambdahatj-...

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  16. A cottage industry manufactures pedestal lamps and wooden shades.Both ...

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  17. If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[...

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  18. Find the area of the triangle formed by O ,A ,B when vec O A= hat ...

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  19. Prove that tan^-1(1/4)+ tan^-1(2/9) = 1/2sin^-1(4/5)

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  20. Check whether the relation R in the set N of natural numbers given by ...

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