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cot^-1(-x) = pi - cot^-1x , x in R...

`cot^-1(-x) = pi - cot^-1x , x in R`

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JMD PUBLICATION- A Gift paper from the publishers-Example
  1. The diff. equation of x^2-y^2=r^2 is .

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  2. If E and F are inedependent events associated with an experiment then ...

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  3. cot^-1(-x) = pi - cot^-1x , x in R

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  4. If absA = 2, absB = 5 then abs(AB) = 10

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  5. The derivative of sinsqrtx w.r.t. sqrtx is cossqrtx

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  6. int(-pi/2)^(pi/2)sinxdx = 0

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  7. The number of arbitrary constants in the particular solution of a diff...

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  8. Prove that : (vecaxxvecb)^2=|\veca|^2.|\vecb|^2-(veca.vecb)^2.

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  9. The shortest destance between vecr = veca1 + lambdavecb and vecr = vec...

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  10. If P(A) = 1/2, P(B) = 7/12 and P(not A or not B) = 1/4, then A and B a...

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  11. Find x, y and z if [[x,+,y,,2],[5,+,z,,xy]]=[[6,2],[5,8]]

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  12. If A= [[cos alpha, -sin alpha],[sin alpha, cos alpha]] , then A + A'= ...

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  13. Prove that the tangents to the curve y = x^2-7x+12 at (3,0) and (4,0) ...

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  14. Integrate int(sin2x)/(a^2sin^2x+b^2cos^2x)dx

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  15. solve int-2^3abs(x-1)dx.

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  16. Find the area of the region bounded by (y^2=4ax) and its latus rectum ...

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  17. Find a unit vector perpendicular to both the vectors (3 hat i + 2 hat ...

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  18. Solve : ((tan^-1 ((2x-3)/(2x-5)) + tan^-1((2x+3)/(2x+5)))=pi/4) .

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  19. Find a for which the function f defined as (f(x)={[(asin(pi/2)(x+1)if...

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  20. If (x=a sin (2t)(1+cos(2t)) and (y=b cos (2t) (1- cos(2t)), then show ...

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