I am fairly new to Mathematica, so this may be a simplistic question, but I want to learn. I know how to use the Solve function to solve a single equation like this:
Solve[Cot[c Degree] == 5.792, c]
and I know how to use Solve to solve a system of multiple equations like this:
Solve[{5*j + 2*r == 5, 6*j - 3*r == 9}, {j, r}]
However, when I try to solve a system of multiple equations that involves trigonometric expressions like this (some variables previously defined):
Solve[{Fr == Cos[phi Degree]*Fb + Sin[theta Degree]*Fa,
0 == Cos[theta Degree]*Fa - Sin[phi Degree]*Fb}, {Fa, theta}] // N
I get only a partially correct answer along with some results that are difficult to understand:
{{Fa -> -883.103,
theta -> ConditionalExpression[57.2958 (-2.10618 + 6.28319 C[1]),
C[1] \[Element] Integers]}, {Fa -> 883.103,
theta -> ConditionalExpression[57.2958 (1.03541 + 6.28319 C[1]),
C[1] \[Element] Integers]}}
What do I need to do to get Mathematica to give me a value of theta in degrees? I am sure there is a straightforward solution, but I just can't seem to find it. Thank you!