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Complex Numbers (Lesson 7/8)

1 / 6

Discussion

Consider the functions f(x)=3sin(x), g(x)=5sin(x+2π). Let h(x)=f(x)+g(x).

Our goal is to write h(x) in the form h(x)=Asin(x+B). Let's walk through how to do this step by step.

(a)

First, show that Im(rcis(θ)) is a sine function.

Complex Numbers (Lesson 7/8)

1 / 6

Discussion

Consider the functions f(x)=3sin(x), g(x)=5sin(x+2π). Let h(x)=f(x)+g(x).

Our goal is to write h(x) in the form h(x)=Asin(x+B). Let's walk through how to do this step by step.

(a)

First, show that Im(rcis(θ)) is a sine function.