Use standard identities to express

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Homework Help Overview

The original poster attempts to express sin(x + π/3) using standard identities, specifically focusing on the sine addition formula. The subject area involves trigonometric identities and their application.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster applies the sine addition formula and provides an expression involving sin(x) and cos(x). Some participants suggest using exact values for trigonometric functions instead of approximations, questioning the need for further simplification.

Discussion Status

Participants have provided feedback on the original poster's approach, indicating that the expression is generally acceptable. There is a focus on using exact values for clarity, but no consensus on further simplification has been reached.

Contextual Notes

There is an emphasis on using exact values in the discussion, particularly regarding the representation of sin(π/3). The original poster expresses uncertainty about the need for additional simplification.

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Homework Statement


Use standard identities to express sin(x+pi/3) in terms of sin x and cos x


Homework Equations



sin(a+b)=sinAcosB+sinBcosA


The Attempt at a Solution



sin(x)cos(pi/3)+sin(pi/3)cos(x)
0.5sinx + 0.8660cosx

I'm just not sure if i need to simplify it even further and hopefully I'm on the right track. Thanks
 
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That should be fine. I would just express 0.866 as √3/2 as that is an exact value whilst 0.866 is just an approximation.
 
that seems right to me. However I'd keep sin(π/3) as \frac{\sqrt{3}}{2}.

Edit: I didn't see rock.freak667's reply.
 
thanks for the response :)
 

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