Calculators Troubleshooting Simultaneous Equations with Trigonometric Functions on TI-89

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The issue discussed revolves around the difficulties encountered when using the SOLVE() function on a TI-89 calculator to solve a set of four simultaneous equations derived from two Free Body Diagrams. The equations involve trigonometric functions and are intended to calculate the variables CD, CB, BA, and Theta. Initially, the user experienced incorrect outputs, which were later resolved upon re-evaluation of the input. The correct solutions for the variables were confirmed as BA=80.7 lb, CD=65.9 lb, CB=57.1 lb, and Theta=2.95 degrees. The professor affirmed the accuracy of the equations, highlighting potential issues with the calculator's handling of trigonometric functions in such contexts.
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Homework Statement


My problem is getting the SOLVE() function to work correctly. I have used it plenty of times in the past, but when I put in these 4 equations to solve simultaneously, it gives me the wrong answers. My Professor said that TI-89's sometimes have problems when having to solve trig functions, like solving for theta, gamma, phi, etc., inside of simultaneous equations.

The problem had me break it up into 2 Free Body Diagrams.

here are the exact 4 equations that I have:

1st free body Diagram:
Sum of Forces in the X direction:
CB*cos(theta)-CD*cos(30)=0
Sum of Forces in the Y direction:
-CB*sin(theta)+CD*sin(30)-30=0

2nd free body diagram:
Sum of forces in X direction:
-CB*cos(theta)+BA*cos(45)=0
Sum of forces in Y direction:
CB*sin(theta)+BA*sin(45)-60=0

The Variables I have to solve are:CD,CB,BA,Theta.
The correct answers are:
BA=80.7 lb
CD=65.9 lb
CB=57.1 lb
Theta=2.95 degrees.

The Professor verified that my equations were right. Please if anyone could help me with this, it would seriously be a breakthrough for me. Thanks!
 
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OK, i must have punched something in wrong, because it worked out perfectly this last time I tried it.
 
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