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

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

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

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

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 that: tan^-1 (1/3)+tan^-1 (2/9)+tan^-1 (4/33)+… tooo= pi/4

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

prove that 2tan^-1 (1/3)+tan^-1 (1/7)=pi/4

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

Prove that 2tan^(-1)(1/2)+tan^(-1)(1/7)=sin^(-1)((31)/(25sqrt(2)))

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

XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[...

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

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

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

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  5. The function f(x) : (x-1)/(x( x^(2) -1)) is discontinuous at (a) exa...

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  6. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...

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  7. If I vec(a)I = 4 and -3 le lamda le 2,then Ilambda vec(a)I lies in ...

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  8. Differentiate sec^2 (x^2) with respect to x^2

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  9. If cos (sin^(-1)(2/sqrt(5)) + cos^(-1)x) = 0, then x is equal to A) ...

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  10. Evaluate : int(-pi/2)^(pi/2)xcos^2 xdx

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  11. The relation R in the set {1,2,3} given by R = {(1,2), (2,1),(1,1)} is...

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  12. The function f : R rarr [ -1,1 ] defined by f(x) = cos x is (a) both...

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  13. If the radius of the circle is increasing at the rate of 0.5 cm/s , th...

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  14. If y = f(x^2) and f'(x) = e^(sqrtx), then find (dy)/(dx)

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  15. A card from a pack of 52 cards is lost. From the remaining cards of ...

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  16. Find the coordinates of the point where the line (x-1)/3 = (y+4)/7 = (...

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  17. the coordinates of the foot of the perpendicular drawn from the point ...

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  18. Using the method of integration find the area of the triangle ABC, co...

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  19. Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1...

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  20. The interval in which the function f given by f(x) = x^2 e^(-x) is str...

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