Conversion to phasor from cos and sine

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    Cos Phasor Sine
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To convert the expression 100Sin(ωt+30) + 20cos(ωt) into phasor form, the user initially attempted to use trigonometric identities but encountered difficulties. The correct approach involves recognizing that the cosine term can be expressed as a sine term, specifically 20cos(ωt) = 20Sin(ωt + 90). After applying the appropriate transformations and combining the sine terms, the user arrived at the solution of 78.7<38.9 degrees in phasor form. The discussion indicates a willingness to assist others with similar problems. The conversion process highlights the importance of understanding phasor relationships in electrical engineering.
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I am given the problem:
100Sin(ωt+30) +20cos(ωt)

and the solution is 78.7<38.9degrees

How do I convert to phasor form?

I know for this calculation I need the following relationship:
√2Esin(ωt-∅)=Ee^(-j∅)

At first I tried making both sines and then splitting up 100Sin(ωt+30) and 20Sin(ωt+90)using the trigonometric identities but I get stuck at that. Please help!
 
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Solved it :D
Please let me know if anyone would like me to go over it.
 
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