Solving 2 Equations: Find \varthetaa & \varthetab

  • Thread starter Thread starter weedannycool
  • Start date Start date
Click For Summary
SUMMARY

The discussion revolves around solving two equations involving variables \(\vartheta_a\) and \(\vartheta_b\). The equations presented are: \(400\cos \vartheta_a = 300 + V_a\cos 45^\circ\) and \(400\sin \vartheta_b = V_b\sin 45^\circ\). It is established that there are two equations with four variables, indicating that a unique solution for all variables is unattainable. The original poster (OP) has acknowledged this limitation and has initiated a new thread for further exploration.

PREREQUISITES
  • Understanding of trigonometric functions and their properties
  • Familiarity with algebraic manipulation of equations
  • Knowledge of vector components in physics
  • Basic understanding of simultaneous equations
NEXT STEPS
  • Explore methods for solving systems of equations with multiple variables
  • Learn about trigonometric identities and their applications in physics
  • Research vector resolution techniques in physics
  • Investigate the implications of underdetermined systems in mathematical modeling
USEFUL FOR

Students in physics or mathematics, educators teaching algebra and trigonometry, and anyone interested in solving systems of equations involving trigonometric functions.

weedannycool
Messages
35
Reaction score
0

Homework Statement



i have 2 equations:

400cos \varthetaa = 300 + Vacos45

and

400sin \varthetab = Vbsin45

Homework Equations





The Attempt at a Solution



i have no clue, maybe square it.
 
Physics news on Phys.org
weedannycool said:

Homework Statement



i have 2 equations:

400cos \varthetaa = 300 + Vacos45

and

400sin \varthetab = Vbsin45

Homework Equations





The Attempt at a Solution



i have no clue, maybe square it.
You have two equations in four variables, so there's no way to get a unique solution for all four.
 

Similar threads

Replies
6
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
3
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 13 ·
Replies
13
Views
8K
  • · Replies 26 ·
Replies
26
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K