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Solve for x, 2 tan ^(-1)(cos x) =tan^(-1...

Solve for `x, 2 tan ^(-1)(cos x) =tan^(-1) (2"cosec"x)`.

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The correct Answer is:
`x = (pi)/(4)`
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ARIHANT PUBLICATION-CHSE ODISHA EXAMINATION PAPER 2019-Group B (60 Marks)
  1. Construct the multiplication table X7 on the set {1, 2, 3, 4, 5, 6}. A...

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  2. Let R be the relation on the set R of real numbers such that aRb iff a...

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  3. Solve for x, 2 tan ^(-1)(cos x) =tan^(-1) (2"cosec"x).

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  4. Find the probability distribution of number of heads in three tosses...

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  5. If A=[{:(1,2,0),(0,1,3),(-2,5,3):}] then verify that A+A is symmetric ...

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  6. If A=[{:(1,2,3),(3,-2,1),(4,2,1):}] then show that A^(3)-23A-40I=O

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  7. Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...

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  8. A person takes 4 tests in succession. The probability of his passing t...

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  9. Find the point on the curve x^2 + y^2 - 4xy + 2 = 0 where the normal...

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  10. Find the intervals in which the function y=(lnx)/(x) is increasing and...

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  11. If y=e^(x^(e^(x^(e^x)))), then find dy/dx.

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  12. Find (d^2y)/(dx^2) if x=a costheta,y=bsintheta.

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  13. Verify lagrange's Mean-Value theorem for F(x) = x^3 - 2x^2 - x + 3 o...

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  14. Find differential equation of the curve y=ae^(3x)+be^(5x).

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  15. Solve : (y^(2) + 7 y + 12) dy + x dx = 0

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  16. Evaluate : int ((2 x + 1) dx)/( ( sqrt( x^(2) + x + 4)))

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  17. Evaluate : int(0)^(pi) ( cos x dx)/(( 2 - sin x) (3 + sin x))

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  18. Find the area of the region bounded by the curve y=6x-x^2 and the x-ax...

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  19. If l(1), m(1), n(1) and l(2), m(2), n(2)  are the direction cosines of...

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  20. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

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