a, b, and c are known and greater than zero, solve for theta and phi from the two equations i) and ii).

i)a*cos(theta) = b*cos(phi)

ii)a*sin(theta) + b*sin(phi) = c

thanks,

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- October 13th 2008, 07:42 PMn0083trigonometry system of equation
a, b, and c are known and greater than zero, solve for theta and phi from the two equations i) and ii).

i)a*cos(theta) = b*cos(phi)

ii)a*sin(theta) + b*sin(phi) = c

thanks, - October 14th 2008, 12:26 PMSoroban
Hello, n0083!

The problem is not difficult . . . The answers are*ugly!*

Quote:

are known and greater than zero. .Solve for and

. .

. . .[3]

Hence: .

Substitute [3] into [2] and solve for . . . then solve for