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Prove The following: "cos"(sin^(-1)\ 3/5...

Prove The following: `"cos"(sin^(-1)\ 3/5+cot^(-1)\ 3/2)=6/(5\ sqrt(13))`

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tan(sin^(-1)((3)/(5))+cos^(-1)((3)/(sqrt(13)))=

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the principal value of tan^(-1)sqrt(3)-sec^(-1)(-2)

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  2. Find the value of x+y from the following equation: 2[(x,5),(7y,-3)]+[(...

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  3. Prove The following: "cos"(sin^(-1)\ 3/5+cot^(-1)\ 3/2)=6/(5\ sqrt(13)...

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  4. The magnitude of the vector product of the vector hat i+ hat j+ hat k...

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  5. Evaluate: int0^pi(xtanx)/(secx+tanx)\ dx

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  6. Write the value ( hat ixx hat j)dot hat k+ hat idot hat jdot

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  7. Find the scalar components of the vector vec A B with initial point A...

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  8. Show that : int0^(pi/2)(sin^2x)/(sinx+cosx)dx=1/(sqrt(2))log(sqrt(2)+1...

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  9. Evaluate: int(x^3)/(x^4+3x^2+2)dx

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  10. Find : int(sqrt(x^2+1)(log(x^2+1)-2logx)/(x^4)dx

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  11. Find : int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)s...

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  12. In a game, a man wins rupees five for a six and loses rupee one for...

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  13. An urn contains 4 balls. Two balls are drawn at random from the urn...

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  14. Solve: tan^(-1)x+2cot^(-1)x=(2pi)/3

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  15. Find the value of cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

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  16. One kind of cake requires 200 g of flour and 25 g of fat, another k...

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  17. Using integration, find the area of the triangle PQR, coordinates o...

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  18. A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, ...

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  19. AB is a diameter of a circle and C is any point on the circumference o...

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  20. Find the distance of the point (-1,-5,-10) from the point of intersect...

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