Cis notation

Evaluate multiplication of two complex numbers in cis notation:

(6 cis 120°)(4 cis 30°)

Write the result in cis and Re-Im notation.

Correct answer:

c = 12 cis 150°
R =  -10.3923
I =  6

Step-by-step explanation:

A=3 4=12 α=120+30=150   c=12 cis150°
R=A cosα=A cos150° =12 cos150° =12 (0.866025)=10.392=10.3923
I=A sinα=A sin150° =12 sin150° =12 0.5=6

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Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.

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