Convert-3 into polar form
Answers
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Answer:
In polar form equation is
r = - θ
Explanation:
If a point ( x , y ) is written as ( r , θ )
in polar coordinates, then x = r o s θ and y = r sin θ .
As such in polar form equation x = − 3
can be written as r cos θ = − 3 or r = − 3/ cos θ
Step-by-step explanation:
In polar form, z = (r,θ) = r·cosθ + j·r·sinθ. and θ is the argument i.e. the angle measured anticlockwise up from the positive real axis. The moduli are multiplied and the arguments are added.
The complex number −3i can be expressed as a complex number in polar form as ⟨3,3π2⟩.
The polar form of a complex number z=a+bi is z=r(cosθ+isinθ) , where r=|z|=√a2+b2 , a=rcosθ and b=rsinθ , and θ=tan−1(ba) for a>0 and θ=tan−1(ba)+π or θ=tan−1(ba)+180° for a<0 . Example: Express the complex number in polar form.