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Show that "sin"^(-1)(4)/(5) +2"tan"^(-1...

Show that `"sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2)`.

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MODERN PUBLICATION-SAMPLE PAPER 2018-EXERCISE
  1. Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...

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  2. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...

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  3. Show that "sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2).

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  4. Show that sin^(-1)sqrt(frac[x-q][p-q])=cos^(-1)sqrt(frac[p-x][p-q])=co...

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  5. Sole the following LPP graphically Minimize Z=4x+3y subject to 2x+...

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  6. A bag A contains 2 white and 3 red balls and another bag B contains 4 ...

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  7. If P(A) = 0.6, P(B/A) = 0.5, find P(A uu B) when A and B are independe...

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  8. Differentiate y=tan^(-1).(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-...

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  9. Differentiate y=(siny)^(sin2x)

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  10. Show that 2sinx+tanxge3x for all x epsilon(0,(pi)/(2)).

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  11. Evaluate int (dx)/((x+1)sqrt(1-x^2))

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  12. Show that int0^1(Inx)/sqrt(1-x^2)dx=pi/2In1/2

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  13. Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.

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  14. From the differential equation whose general solution is y=asint+be^t.

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  15. Solve the following differential equations (1+y^2)dx+(x-e^(-tan^(-1)...

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  16. Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...

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  17. Prove that for any three vectors vec(a), vec(b) and vec(c), [vec(a) + ...

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  18. If the sum of two unit vectors is a unit vector, show that the magnitu...

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  19. Prove that the measure of the angle between two main diagonals of a cu...

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  20. Two vectors vec A and vec B are inclined to each other at an angle the...

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