solve the following system of equations ?

2 sin a - coss b + 3 tan y = 3

4 sin a + 2 cos b - 2 tan y = 2

6 sin a - 3 cos b + tan y = 9

1 Answer

Relevance
  • 7 years ago
    Favorite Answer

    You can use Gauss method:

    2sina - cosb + 3tany = 3 .......×(-2) add to second; ×(-3) add to third

    4sina + 2cosb - 2tany = 2

    6sina - 3cosb + tany = 9

    --------------------------------------

    2sina - cosb + 3tany = 3

    ......... 4cosb - 8tany = - 4

    ....................-8tany = 0

    ----------------------------------------

    tany = 0

    ------------

    => cosb = (- 4 + 8tany)/4

    => cosb = -1

    --------------------

    => sina = (3 - 3tany + cosb) / 2

    => sina = 1

    ---------------------

    a = arcsin(1) = π/2

    b = arccos(-1) = π

    y = arctan(0) = 0

Still have questions? Get your answers by asking now.