Really simple system of equations

AI Thread Summary
The discussion revolves around solving a system of equations involving Tac and the angle \Phi. The two equations provided are 2500 - Tac cos \Phi = 0 and Tac sin \Phi - 500 = 0. The user has derived Tac = 500/sin \Phi and reformulated the first equation but is struggling to progress further. A suggestion is made to correct the second equation to 2500 - 500cos \Phi/sin \Phi = 0 for clarity. The goal is to find \Phi, which is indicated to be approximately 11.31°.
yoleven
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Homework Statement


1. 2500-Tac cos \Phi=0
2. Tac sin\Phi-500=0

Homework Equations





The Attempt at a Solution


I have 2 equations. I need to solve for \Phi to get Tac. I have got to the point of :
Tac=500/sin\Phi
2500-500/sin\Phi*(cos\Phi)=0

after this i can't go any further

I am looking at the solution of 11.31°. But I need to solve to get it.
 
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yoleven said:
I have got to the point of :
Tac=500/sin\Phi
2500-500/sin\Phi*(cos\Phi)=0

after this i can't go any further

I am looking at the solution of 11.31°. But I need to solve to get it.

Hi yoleven! :smile:

(have a phi: φ :smile:)

Your second line should be 2500 - 500cosφ/sinφ = 0. :wink:
 

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