2 simutaneous equations from my coursework
4=4cosx+3cos(x+y)
3=4sinx+3sin(x+y)
looking for analytical solution, should yield 2 pairs of answers
Thanks in advance guys!
Hello, cybernoa!
Looking for analytical solution, should yield 2 pairs of answers.
We have: .
. . .
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Let in [2]: .
. . . .
. . . . . . . . . .
Divide by 5: . .[3]
Let: . .[4]
Substitute into [3]: .
Then we have: .
Substitute [4]: .
One solution: .
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Let in [2]: .
. . . .
. . . . . . . . . .
Divide by 5: . .[5]
Let: . .[6]
Substitute into [5]: .
Then we have: .
Substitute [6]: .
Another solution: .