Solving Trig Equation: 600cosA = xcos35

  • Thread starter Thread starter kirbykirbykirby
  • Start date Start date
  • Tags Tags
    Trig
Click For Summary
SUMMARY

The discussion focuses on solving the trigonometric equations 600cosA = xcos35 and 600sinA - 100 = xsin35. The solution involves eliminating the variable x by dividing one equation by the other, leading to a single variable equation in terms of A. The expected solutions for A are 42.9 degrees and 90 - 42.9 degrees. This method effectively simplifies the problem, allowing for a straightforward calculation of angle A.

PREREQUISITES
  • Understanding of trigonometric functions (sine and cosine)
  • Familiarity with algebraic manipulation of equations
  • Basic knowledge of solving systems of equations
  • Concept of angle measurement in degrees
NEXT STEPS
  • Study the process of dividing equations to eliminate variables
  • Learn about trigonometric identities and their applications
  • Explore solving systems of equations using substitution and elimination methods
  • Investigate the graphical representation of trigonometric functions
USEFUL FOR

Students in physics or mathematics, educators teaching trigonometry, and anyone interested in solving trigonometric equations effectively.

kirbykirbykirby
Messages
21
Reaction score
0
How do you solve:

600cosA = xcos35
600sinA - 100 = xsin35

The answer is supposed to be 42.9 or 90 - 42.9 for A in degrees.

That equation might not be right though because I came up with it for Physics.
 
Physics news on Phys.org
HINT: Divide one equation by the other to eliminate x.
 
Solve for x in one equation then plug that into x for the other equation. Once you eliminate the x you should be left with only the variable A and you should be able to solve it.
 

Similar threads

Replies
9
Views
4K
Replies
21
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
8
Views
2K
Replies
6
Views
2K
  • · Replies 6 ·
Replies
6
Views
7K
  • · Replies 7 ·
Replies
7
Views
7K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K