How do you write the complex number z=-8 in trigonometric

Yahir Haas

Yahir Haas

Answered question

2022-01-31

How do you write the complex number z=8 in trigonometric form?

Answer & Explanation

Jason Olsen

Jason Olsen

Beginner2022-02-01Added 14 answers

8(cos(π2)+isin(π2))
Explanation:
z=8+0i
In general a+bir(cos(θ)+isin(θ))
with r=a2+b2
and θ=
{arctan(ba)if a>0π2if a=0and b>0π+arctan(ba)if a<0π2 if a=0 and b<0undefined if a=0 and b=0

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