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grunfeld

Lv 7

# 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

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- ███Lv 77 years agoFavorite 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

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2sina - cosb + 3tany = 3

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

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

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tany = 0

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

=> cosb = -1

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

=> sina = 1

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a = arcsin(1) = π/2

b = arccos(-1) = π

y = arctan(0) = 0

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