Proving Trigonometric Identity: Double Angle Formula

  • Context: High School 
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Discussion Overview

The discussion revolves around proving a trigonometric identity related to the double angle formula. Participants explore different approaches and formulas to achieve this proof, focusing on mathematical reasoning and techniques.

Discussion Character

  • Mathematical reasoning, Homework-related

Main Points Raised

  • One participant expresses uncertainty about how to prove the identity and mentions the involvement of a double angle formula.
  • Another participant suggests using the formula \(\sin a \cos b = \frac{\sin (a+b) + \sin(a-b)}{2}\) as a potential approach.
  • A later reply indicates that the participant successfully used the formula \(\cos a \sin b = \frac{\sin (a+b) - \sin(a-b)}{2}\) to solve the problem.

Areas of Agreement / Disagreement

The discussion shows a progression from uncertainty to a proposed solution, but it does not indicate a consensus on the methods used or the validity of the approaches.

Contextual Notes

Some assumptions about the applicability of the double angle formulas and the specific conditions under which the identities hold are not fully explored.

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Use
\sin a \cos b = (\sin (a+b) + \sin(a-b))/2[/itex]
 
Thanks! I will give that a go
 
AlephZero said:
Use
\sin a \cos b = (\sin (a+b) + \sin(a-b))/2[/itex]
<br /> <br /> Thanks, I managed to do it using <br /> <br /> &lt;br /&gt; \cos a \sin b = (\sin (a+b) - \sin(a-b))/2&lt;br /&gt;<br /> <br /> PROBLEM SOLVED!
 

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