Use standard identities to express

[menco]

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

 

[rock.freak667]

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]

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.

 

[menco]

thanks for the response :)