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Express the value of sin "cos"^(-1) tan ...

Express the value of `sin "cos"^(-1) tan sec^(-1)sqrt2`in simplest form.

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Give example of a function whose is continuous but not differentiable ...

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  2. If absveca=10,absvecb=1 and veca.vecb=0 then what is the value of |vec...

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  3. Express the value of sin "cos"^(-1) tan sec^(-1)sqrt2in simplest form.

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  4. Give example of a function which is increasing in (-oo,2) and (3,oo) a...

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  5. For a 2xx2 matrix A, if A.adjA=[(10,0),(0,10)], then what is the value...

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  6. What is the distance of point (3,-4, 5) from z-axis ?

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  7. What is the value of abs((1,logx y, logx z),(logy x,1,logy z),(logz x,...

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  8. What is the value of int0^100[tan^(-1)x]dx ?

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  9. Write the value of inte^(x)e^(e^x)e^(e^(e^x))dx.

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  10. Prove the "sin"^(-1) sqrt((x-q)/(p-q))="cos"^(-1)sqrt((p-x)/(p-q))="co...

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  11. Let X and Y be sets containing m and n elements respectively.What is t...

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  12. Solve the following LPP graphically: maximize Z=5x+7y subject to 3x+yl...

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  13. Solve:"sin"^(-1)2x+"sin"^(-1)x = pi/3.

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  14. Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...

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  15. If ax+hy+g=0, hx+by+f=0 and gx+fy+c=lamda, find the value of lamda in ...

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  16. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

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  17. Find the adjoint of the following matrice. [[1,1,-1],[2,-1,2],[1,3,-2...

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  18. If A and B are matrices of the same order and AB=BA, Then prove that ...

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  19. Solve by matrix method: 2x + 3y=1,4x+5y=3

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  20. If e^x+e^y=e^(x+y), find dy/dx.

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