In order to find the product of two complex numbers their magnitudes are multiplied and their arguments(measure of angles) are added up.

For z₁
Magnitude = 4
Argument = π/3

For z₂
Magnitude = 3
Argument = 2π/5

So, the product of z₁ and z₂ will be:

$z_{1} z_{2} =4*3(cos( \frac{ \pi }{3}+\frac{2 \pi }{5})+isin( \frac{ \pi }{3}+\frac{2 \pi }{5})) \\ \\ 
z_{1} z_{2} =12(cos( \frac{11 \pi }{5}+isin( \frac{11 \pi }{5}))$

6 0

2 years ago

A cone is 10 inches tall and has a radius of 3 inches. What is the cone’s volume?

monitta

Area of the base is πr² where r is the radius. The volume of a cone is ⅓ πr²h where h is the height.
So the volume is ⅓ π×9×10=30 π=94.25 cu in approximately.

4 0

2 years ago