Solving Simultaneous equations with cos() and sin()

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Discussion Overview

The discussion revolves around solving simultaneous equations involving sine and cosine functions. Participants seek guidance on the methods to approach the problem, including the application of trigonometric identities.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about solving the simultaneous equations and requests guidance.
  • Another participant suggests using the identity \(\sin^2\theta_s+\cos^2\theta_s=1\) as part of the solution process.
  • A participant questions whether they should first square both sides of the equations before applying the identity.
  • Several participants propose isolating \(V \sin\theta_s\) and \(V \cos\theta_s\) and then using the identity to simplify the equations.
  • One participant indicates satisfaction with the guidance received, stating they have understood the approach.

Areas of Agreement / Disagreement

Participants generally agree on the use of the trigonometric identity, but there is no consensus on the specific steps to take before applying it, as some suggest squaring the equations while others focus on isolating terms.

Contextual Notes

Participants have not fully resolved the sequence of operations needed to solve the equations, and there may be assumptions regarding the forms of the equations that are not explicitly stated.

Micheal_Leo
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Hello

I have two equations given below and answer is also given solve by simultaneously

i am not sure how this happen

please guide thank you


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Use the identity
\sin^2\theta_s+\cos^2\theta_s=1
 
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anuttarasammyak said:
Use the identity
\sin^2\theta_s+\cos^2\theta_s=1
thank you for reply , first have to take square on both sides of equation 1 and 2 than use identity ?
 
Get
V sin\theta_s, V cos\theta_s
exlpcit and use the identity.
 
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anuttarasammyak said:
Get
V sin\theta_s, V cos\theta_s
exlpcit and use the identity.
thank you very much perfectly got it
 
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