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Show that "cos"^(-1)4/5+"cos"^(-1)12/13=...

Show that `"cos"^(-1)4/5+"cos"^(-1)12/13="cos"^(-1)33/65`

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cos^(-1)(cos""(13pi)/6)=pi/4 .

OMEGA PUBLICATION-HP BOARD MARCH 2017-SERIES -C
  1. Show that "cos"^(-1)4/5+"cos"^(-1)12/13="cos"^(-1)33/65

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  2. The principal value of cos^(-1)(1/sqrt 2) is ............. .

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  3. If A and B are symmetric matrices of same order then AB - BA is a :

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  4. The drivateive of tan45^(@) is

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  5. Find the approximate change in the volume V of a cube of side x metres...

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  6. An antiderivative of sin mx is

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  7. The degree of the differential equation (d^(3)y)/(dx^(3))+2((d^(2)y)/(...

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  8. Find the projection of the vector hati+3hatj+7hatk on the vector 7hati...

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  9. The dot product of the two vectors veca and vecb is

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  10. The distance of the plane 2x-y+2z+3=0 from the point (3,2,1) is

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  11. If A and b are any two events such that P(A)+P(B)-P(A "and"B)=P(A), t...

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  12. By using elementary transformation find the inverse of the matrix : A ...

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  13. Find the values of x and y from the equation 2[(x,5),(y,-3)]+[(3,-4),(...

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  14. Find the values of k so that the function f, defined by f(x)={(kx+1,"i...

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  15. Find the intervals in which the function f given by f(x)=4x^(3)-6x^(2)...

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  16. Form a differential equation representing the family of curves y^(2) =...

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  17. Let T be the set of all triangles in a plane with R a relation in T gi...

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  18. Prove that cos^(-1)""(12)/(13)+sin^(-1)""(3)/(5)=sin^(-1)""(56)/(65)

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  19. Write tan^(-1)((sqrt(1+x^(2))-1)/(x)),xne0 simplest form.

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  20. Using the properties of determinants, show that |(1+a,1,1),(1,1+b,1),(...

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  21. Find (dy)/(dx) if xy^2 + y^2 = tan x + y

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