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Math Help - Trig compound formula problem...

  1. #1
    Newbie
    Joined
    May 2009
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    6

    Trig compound formula problem...

    Hey all, I've tried searching through the forum but cannot find anything relating to this question. It is for distinction grade so I'm struggling.

    The question reads:

    Voltages V1 and V2, represented by the equations V1=30sin(Θ+60) and V2=50sin(Θ+45) volts are added together as Vr=V1+V2.

    I need to use compound formula to simplify this and add them together.
    I am okay with that, but I have only done it with sin (A+B) = sinA cosB + cosA sinB.
    What confuses me is the 30+ and the 50+ before the sin.

    Any help appreciated.

    Dan
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  2. #2
    Junior Member
    Joined
    May 2009
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    Zagreb
    Posts
    65
    30sin( alpha + beta ) = 30*sin( alpha + beta ) =
    = 30*( sin(alpha)*cos(beta) + cos(alpha)*sin(beta) )
    the same thing with 50

    sin( alpha + beta ) is only one number just like 30 or 50 so if you are multiplying it is the same how you will write sin( alpha + beta ).

    For example:

    a = a

    b = c + d

    a*b = a*( c + d )
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