Use standard identities to express


by menco
Tags: express, identities, standard
menco
menco is offline
#1
Apr4-12, 08:08 PM
P: 42
1. The problem statement, all variables and given/known data
Use standard identities to express sin(x+pi/3) in terms of sin x and cos x


2. Relevant equations

sin(a+b)=sinAcosB+sinBcosA


3. 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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rock.freak667
rock.freak667 is offline
#2
Apr4-12, 08:49 PM
HW Helper
P: 6,213
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.
cupcakes
cupcakes is offline
#3
Apr4-12, 08:50 PM
P: 18
that seems right to me. However I'd keep sin(π/3) as [itex]\frac{\sqrt{3}}{2}[/itex].

Edit: I didn't see rock.freak667's reply.

menco
menco is offline
#4
Apr4-12, 10:59 PM
P: 42

Use standard identities to express


thanks for the response :)


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